<?xml version="1.0"?>
<ownershipDocument>

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    <periodOfReport>2022-05-23</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001439404</issuerCik>
        <issuerName>ZYNGA INC</issuerName>
        <issuerTradingSymbol>ZNGA</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001875017</rptOwnerCik>
            <rptOwnerName>Rawlings Amy Marie</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>699 8TH STREET</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>SAN FRANCISCO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94103</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Accounting Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

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                <transactionShares>
                    <value>41528</value>
                </transactionShares>
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                    <value>0.00</value>
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                    <value>D</value>
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    <footnotes>
        <footnote id="F1">Pursuant to the Agreement and Plan of Merger, dated as of January 9, 2022 (the &quot;Merger Agreement&quot;), by and among Take-Two Interactive Software, Inc. (&quot;Take-Two&quot;), Zebra MS I, Inc., Zebra MS II, Inc., and the Issuer, each share of the Issuer's class A common stock was cancelled and converted into the right to receive (i) 0.0406 shares of Take-Two common stock and (ii) $3.50 in cash, together with cash in lieu of any fractional shares of Take-Two common stock.</footnote>
        <footnote id="F2">Each restricted stock unit represents a contingent right to receive 1 share of the Issuer's Class A Common Stock upon vest.</footnote>
        <footnote id="F3">Pursuant to the Merger Agreement, at the effective time, each of the Issuer's restricted stock units was assumed and converted into a restricted stock unit with respect to a number of shares of Take-Two common stock (rounded down to the nearest whole share) determined by multiplying (i) the number of shares of class A common stock subject to the Issuer restricted stock unit immediately prior to the Effective Time by (ii) 0.0702. The converted restricted stock unit will otherwise be subject to the same terms and conditions as were applicable to the Issuer restricted stock units prior to the effective time.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Matt Tolland, as attorney-in-fact for Amy M. Rawlings</signatureName>
        <signatureDate>2022-05-24</signatureDate>
    </ownerSignature>
</ownershipDocument>
