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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

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

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001793229</issuerCik>
        <issuerName>MultiPlan Corp</issuerName>
        <issuerTradingSymbol>MPLN</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001827254</rptOwnerCik>
            <rptOwnerName>White Dale A.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O MULTIPLAN CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>115 FIFTH AVENUE</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10003</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>See Remarks</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A common stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-10-08</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>8066106</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>8066106</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Reflects shares of Class A common stock of the Issuer (&quot;Common Stock&quot;) received pursuant to an Agreement and Plan of Merger, dated July 12, 2020 (the &quot;Merger Agreement&quot;), by and among the Issuer (formerly known as Churchill Capital Corp III), Polaris Parent Corp. (&quot;MultiPlan Parent&quot;), Polaris Investment Holdings, L.P., Music Merger Sub I, Inc. and Music Merger Sub II LLC, pursuant to which Music Merger Sub I, Inc. merged with MultiPlan Parent, with MultiPlan Parent surviving, and MultiPlan Parent merged with and into Music Merger Sub II LLC, with Music Merger Sub II LLC surviving the merger as a wholly owned subsidiary of the Issuer (which changed its name to MultiPlan Corporation)  Pursuant to the Merger Agreement, former stockholders of MultiPlan Parent received their pro rata portion of the merger consideration, which was equal to $5,678,000,000, paid in a combination of $1,521,000,000 cash with the remainder paid in shares of Common Stock in an amount equal to $10.00 per share.</footnote>
    </footnotes>

    <remarks>Executive Vice President and Chief Revenue Officer</remarks>

    <ownerSignature>
        <signatureName>/s/ Shawna Gasik, attorney-in-fact</signatureName>
        <signatureDate>2020-10-13</signatureDate>
    </ownerSignature>
</ownershipDocument>
