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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2015-11-16</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001246224</rptOwnerCik>
            <rptOwnerName>ALEXOS NICHOLAS W</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>THREE FIRST NATIONAL PLAZA,</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 4600</rptOwnerStreet2>
            <rptOwnerCity>CHICAGO</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60602</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, par value $0.01</value>
            </securityTitle>
            <transactionDate>
                <value>2015-11-16</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>11000000</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>25.75</value>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>72600000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnotes</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                    <footnoteId id="F6"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Represent shares of VWR Corporation's (the &quot;Issuer&quot;) common stock sold in an underwritten secondary offering.</footnote>
        <footnote id="F2">Represents the sale price to the underwriters in the secondary offering of $25.75 per share.</footnote>
        <footnote id="F3">Varietal Distribution Holdings, LLC (&quot;Varietal&quot;) is the record owner of the reported shares. Voting and dispositive power with respect to the common stock held by Varietal is exercised by its board of directors, which is comprised of Messrs. Nicholas W. Alexos and Timothy P. Sullivan. Madison Dearborn Capital Partners V-A, L.P. (&quot;MDP V-A&quot;), Madison Dearborn Capital Partners V-C, L.P. (&quot;MDP V-C&quot;), Madison Dearborn Capital Partners V Executive-A, L.P. (&quot;MDP Executive&quot;), MDCP Co-Investors (Varietal), L.P. (&quot;Varietal-1&quot;) and MDCP Co-Investors (Varietal-2), L.P. (&quot;Varietal-2&quot; and together with MDP V-A, MDP V-C, MDP Executive and Varietal-1, the &quot;MDP Funds&quot;) are the controlling equityholders of Varietal. (Continued in Footnote 4)</footnote>
        <footnote id="F4">Madison Dearborn Partners V-A&amp;C, L.P. (&quot;MDP A&amp;C&quot;) is the general partner of each of the MDP Funds. Messrs. Paul J. Finnegan and Samuel M. Mencoff are the sole members of a limited partner committee of MDP A&amp;C that have the power, acting by majority vote, to vote or dispose of the units directly held by the MDP Funds, and may be deemed to have shared voting and investment power over such shares.  Madison Dearborn Partners, LLC (&quot;MDP&quot;) is the general partner of MDP A&amp;C and has the ability to direct the investment decisions of MDP A&amp;C, including the power to direct the decisions of MDP A&amp;C regarding the vote or disposition of securities directly held by Varietal.</footnote>
        <footnote id="F5">Nicholas W. Alexos is a managing director of MDP. Mr. Alexos may be deemed to share beneficial ownership of the shares of the Issuer's common stock held of record by Varietal and has an indirect pecuniary interest in such shares through his investment in MDP A&amp;C. Mr. Alexos expressly disclaims beneficial ownership of such shares except to the extent of his pecuniary interest therein.</footnote>
        <footnote id="F6">The other beneficial owners of the reported securities have separately filed Form 4's.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Nicholas W. Alexos /s/ Annie S. Terry, by power of attorney</signatureName>
        <signatureDate>2015-11-17</signatureDate>
    </ownerSignature>
</ownershipDocument>
