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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-05-23</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001592379</issuerCik>
        <issuerName>Papa Murphy's Holdings, Inc.</issuerName>
        <issuerTradingSymbol>FRSH</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001074749</rptOwnerCik>
            <rptOwnerName>MFP PARTNERS LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O MFP INVESTORS LLC</rptOwnerStreet1>
            <rptOwnerStreet2>909 THIRD AVENUE, 33RD FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001105685</rptOwnerCik>
            <rptOwnerName>MFP INVESTORS LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>909 THIRD AVENUE, 33RD FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000918537</rptOwnerCik>
            <rptOwnerName>PRICE MICHAEL F</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O MFP INVESTORS LLC</rptOwnerStreet1>
            <rptOwnerStreet2>909 THIRD AVENUE, 33RD FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, par value $0.01 per share</value>
            </securityTitle>
            <transactionDate>
                <value>2019-05-23</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>U</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2531369</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>6.45</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">This report is filed jointly by MFP Partners, L.P. (&quot;MFP Partners&quot;), MFP Investors LLC (&quot;MFP Investors&quot;) and Michael F. Price (each, a &quot;Reporting Person&quot; and, collectively, the &quot;Reporting Persons&quot;) in connection with their respective direct and indirect relationships with Papa Murphy's Holdings, Inc. (the &quot;Company&quot;).  MFP Investors is the general partner of MFP Partners.  Mr. Price is the managing partner of MFP Partners and the managing member and controlling person of MFP Investors.</footnote>
        <footnote id="F2">MFP Partners is the direct beneficial owner of the shares of common stock of the Company reported herein (the &quot;Common Shares&quot;).  Each Reporting Person other than MFP Partners may be deemed to be the indirect beneficial owner of such Common Shares; however, each such Reporting Person disclaims beneficial ownership of such Common Shares except to the extent of such Reporting Person's pecuniary interest therein, and this report shall not be deemed an admission that any of these Reporting Persons is the beneficial owner of the Common Shares described herein for purposes of Section 16 of the Securities Exchange Act of 1934 or for any other purpose.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>MFP PARTNERS, L.P.; By: MFP INVESTORS LLC; By: /s/ Michael F. Price; Name: Michael F. Price; Title: Managing Member</signatureName>
        <signatureDate>2019-06-14</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>MFP INVESTORS LLC; By: /s/ Michael F. Price; Name: Michael F. Price; Title: Managing Member</signatureName>
        <signatureDate>2019-06-14</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Michael F. Price</signatureName>
        <signatureDate>2019-06-14</signatureDate>
    </ownerSignature>
</ownershipDocument>
