<SEC-DOCUMENT>0001209191-20-045987.txt : 20200810
<SEC-HEADER>0001209191-20-045987.hdr.sgml : 20200810
<ACCEPTANCE-DATETIME>20200810172521
ACCESSION NUMBER:		0001209191-20-045987
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20200810
FILED AS OF DATE:		20200810
DATE AS OF CHANGE:		20200810

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			SHEEHY BRIAN L.
		CENTRAL INDEX KEY:			0001646597

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	000-23386
		FILM NUMBER:		201090431

	MAIL ADDRESS:	
		STREET 1:		415 MADISON AVENUE
		STREET 2:		14TH FLOOR
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10017

	FORMER NAME:	
		FORMER CONFORMED NAME:	Sheehy Brian L Greenstein
		DATE OF NAME CHANGE:	20150629

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			CRYO CELL INTERNATIONAL INC
		CENTRAL INDEX KEY:			0000862692
		STANDARD INDUSTRIAL CLASSIFICATION:	SERVICES-MISC HEALTH & ALLIED SERVICES, NEC [8090]
		IRS NUMBER:				223023093
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1130

	BUSINESS ADDRESS:	
		STREET 1:		700 BROOKER CREEK BLVD
		STREET 2:		SUITE 1800
		CITY:			OLDSMAR
		STATE:			FL
		ZIP:			34677
		BUSINESS PHONE:		813-749-2104

	MAIL ADDRESS:	
		STREET 1:		700 BROOKER CREEK BLVD
		STREET 2:		SUITE 1800
		CITY:			OLDSMAR
		STATE:			FL
		ZIP:			34677
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc4.xml
<DESCRIPTION>FORM 4 SUBMISSION
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-08-10</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000862692</issuerCik>
        <issuerName>CRYO CELL INTERNATIONAL INC</issuerName>
        <issuerTradingSymbol>CCEL</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001646597</rptOwnerCik>
            <rptOwnerName>SHEEHY BRIAN L.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>700 BROOKER CREEK BLVD</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 1800</rptOwnerStreet2>
            <rptOwnerCity>OLDSMAR</rptOwnerCity>
            <rptOwnerState>FL</rptOwnerState>
            <rptOwnerZipCode>34677</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-08-10</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>6455</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>8.9962</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>496503</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Corporation</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Stock Option</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>7.53</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2019-08-30</value>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <value>2029-08-30</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>20000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>20000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Stock Option</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>7.74</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2019-11-25</value>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <value>2029-11-25</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>5300</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>5300</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Shares of Common Stock held by IsZo GP, as to which Brian L. Sheehy may be deemed the beneficial owner as the managing member of IsZo GP and the President of the general partner of ICM.  IsZo GP is the general partner of the Fund and ICM is the investment manager of the Fund.</footnote>
        <footnote id="F2">Stock options will vest 1/3 upon date of grant, 1/3 on August 30, 2020 and 1/3 on August 30, 2021.</footnote>
        <footnote id="F3">Stock options vest at a rate of 1/12 per month commencing on November 25, 2019.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Brian Sheehy</signatureName>
        <signatureDate>2020-08-10</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
