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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2014-03-01</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001303313</issuerCik>
        <issuerName>LHC Group, Inc</issuerName>
        <issuerTradingSymbol>LHCG</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001409751</rptOwnerCik>
            <rptOwnerName>Coliseum Capital Management, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>METRO CENTER</rptOwnerStreet1>
            <rptOwnerStreet2>1 STATION PLACE, 7TH FLOOR SOUTH</rptOwnerStreet2>
            <rptOwnerCity>STAMFORD</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06902</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001430708</rptOwnerCik>
            <rptOwnerName>Shackelton Christopher S</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>METRO CENTER</rptOwnerStreet1>
            <rptOwnerStreet2>1 STATION PLACE, 7TH FLOOR SOUTH</rptOwnerStreet2>
            <rptOwnerCity>STAMFORD</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06902</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001409585</rptOwnerCik>
            <rptOwnerName>Coliseum Capital, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>METRO CENTER</rptOwnerStreet1>
            <rptOwnerStreet2>1 STATION PLACE, 7TH FLOOR SOUTH</rptOwnerStreet2>
            <rptOwnerCity>STAMFORD</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06902</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001356974</rptOwnerCik>
            <rptOwnerName>COLISEUM CAPITAL PARTNERS L P</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>METRO CENTER</rptOwnerStreet1>
            <rptOwnerStreet2>1 STATION PLACE, 7TH FLOOR SOUTH</rptOwnerStreet2>
            <rptOwnerCity>STAMFORD</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06902</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001567187</rptOwnerCik>
            <rptOwnerName>Coliseum Capital Partners II, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>METRO CENTER</rptOwnerStreet1>
            <rptOwnerStreet2>1 STATION PLACE, 7TH FLOOR SOUTH</rptOwnerStreet2>
            <rptOwnerCity>STAMFORD</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06902</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001454123</rptOwnerCik>
            <rptOwnerName>Gray Adam</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>METRO CENTER</rptOwnerStreet1>
            <rptOwnerStreet2>1 STATION PLACE, 7TH FLOOR SOUTH</rptOwnerStreet2>
            <rptOwnerCity>STAMFORD</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06902</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Phantom Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2014-03-01</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2600</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <value>2015-03-01</value>
            </exerciseDate>
            <expirationDate>
                <value>2015-03-01</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>2600</value>
                    <footnoteId id="F1"/>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2600</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnotes</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Each share of phantom stock is the economic equivalent of one share of the Issuer's common stock. Each share of phantom stock is entitled to a cash payment equal to the fair market value of a share of the Issuer's common stock as of the payment date based on the closing market price of the common stock on such date.</footnote>
        <footnote id="F2">The phantom stock was received by Christopher Shackelton (&quot;Shackelton&quot;) connection with his service as a member of the board of directors of the Issuer.  Shackelton has agreed that all equity awards he receives for serving as a director of the issuer shall be issued to Coliseum Capital Partners, L.P. (&quot;CCP&quot;)</footnote>
        <footnote id="F3">Shackelton and Adam Gray &quot;(Gray&quot;) are managers of and have an ownership interest in each of Coliseum Capital Management, LLC (&quot;CCM&quot;) and Coliseum Capital, LLC (&quot;CC&quot;).  CCM is the investment manager for CCP, and CC is the general partner of CCP.  Accordingly, each of CCM, CC, Shackelton and Gray may be deemed to have an indirect pecuniary interest in the phantom stock held by CCP.  Each of CCM, CC, Shackelton, Gray, CCP and Colseum Capital Partners II, L.P disclaim beneficial ownership of the phantom stock, except to the extent of that person's pecuniary interest therein.</footnote>
    </footnotes>

    <remarks>Christopher Shackelton is a director of the Issuer. As a result, the following persons may be deemed directors by deputization of the Issuer solely for purposes of Section 16 of the Securities Exchange Act of 1934, as amended: Coliseum Capital Management, LLC; Coliseum Capital, LLC; Coliseum Capital Partners, L.P.; Coliseum Capital Partners II, L.P.; and Adam Gray.</remarks>

    <ownerSignature>
        <signatureName>Coliseum Capital Management, LLC, By: /s/ Christopher Shackelton, Manager</signatureName>
        <signatureDate>2015-02-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Christopher Shackelton</signatureName>
        <signatureDate>2015-02-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Coliseum Capital, LLC, By: /s/ Christopher Shackelton, Manager</signatureName>
        <signatureDate>2015-02-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Coliseum Capital Partners, L.P., By: Coliseum Capital, LLC, its General Partner, By: /s/ Christopher Shackelton, Manager</signatureName>
        <signatureDate>2015-02-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Coliseum Capital Partners II, L.P., By: Coliseum Capital, LLC, its General Partner, By: /s/ Christopher Shackelton, Manager</signatureName>
        <signatureDate>2015-02-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Adam Gray</signatureName>
        <signatureDate>2015-02-27</signatureDate>
    </ownerSignature>
</ownershipDocument>
