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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2017-11-21</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001412232</issuerCik>
        <issuerName>VWR Corp</issuerName>
        <issuerTradingSymbol>VWR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001082877</rptOwnerCik>
            <rptOwnerName>KRAEMER HARRY M JANSEN JR</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O VWR CORPORATION, RADNOR CORP CENTER</rptOwnerStreet1>
            <rptOwnerStreet2>BUILDING ONE, STE 200, 100 MATSONFORD RD</rptOwnerStreet2>
            <rptOwnerCity>RADNOR</rptOwnerCity>
            <rptOwnerState>PA</rptOwnerState>
            <rptOwnerZipCode>19087</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>2017-11-21</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>7617</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>33.25</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Director stock option (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>21.00</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2017-11-21</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>22617</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>12.25</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <value>2021-10-01</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>22617</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">On May 4, 2017, VWR Corporation (the &quot;Company&quot;) entered into an Agreement and Plan of Merger (the &quot;Merger Agreement&quot;) with Avantor, Inc. and Vail Acquisition Corp (&quot;Merger Sub&quot;), pursuant to which Merger Sub would merge (the &quot;Merger&quot;) with and into the Company, with the Company continuing as the surviving corporation. The Merger became effective on November 21, 2017 (the &quot;Closing Date&quot;). Pursuant to the Merger Agreement, (i) each share of the Company's common stock, par value $0.01 (&quot;Common Stock&quot;), issued and outstanding prior to the Closing Date was cancelled and converted into the right to receive a cash payment equal to $33.25 and without interest and (ii) each restricted stock unit outstanding prior to the Closing Date was cancelled and converted into the vested right to receive a cash payment equal to $33.25 and without interest.</footnote>
        <footnote id="F2">Pursuant to the terms of the Merger Agreement, each director stock option that was outstanding immediately prior to the Closing Date, whether or not exercisable or vested, was canceled and converted into the right to receive (i) an amount in cash determined by multiplying (A) the excess (if any) of $33.25 over the exercise price per share of Common Stock underlying such stock option by (B) the number of shares of Common Stock subject to such stock option immediately prior to the Closing Date.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Harry M. Jansen Kraemer, Jr. /s/ Scott K. Baker, by power of attorney</signatureName>
        <signatureDate>2017-11-22</signatureDate>
    </ownerSignature>
</ownershipDocument>
