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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2015-12-17</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001459266</issuerCik>
        <issuerName>ZS Pharma, Inc.</issuerName>
        <issuerTradingSymbol>ZSPH</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001356034</rptOwnerCik>
            <rptOwnerName>DEVON PARK BIOVENTURES LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1400 LIBERTY RIDGE DRIVE</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 103</rptOwnerStreet2>
            <rptOwnerCity>WAYNE</rptOwnerCity>
            <rptOwnerState>PA</rptOwnerState>
            <rptOwnerZipCode>19087</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001610919</rptOwnerCik>
            <rptOwnerName>Devon Park Associates, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1400 LIBERTY RIDGE DRIVE</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 103</rptOwnerStreet2>
            <rptOwnerCity>WAYNE</rptOwnerCity>
            <rptOwnerState>PA</rptOwnerState>
            <rptOwnerZipCode>19087</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001610920</rptOwnerCik>
            <rptOwnerName>Devon Park Associates, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1400 LIBERTY RIDGE DRIVE</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 103</rptOwnerStreet2>
            <rptOwnerCity>WAYNE</rptOwnerCity>
            <rptOwnerState>PA</rptOwnerState>
            <rptOwnerZipCode>19087</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</value>
            </securityTitle>
            <transactionDate>
                <value>2015-12-17</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>U</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>9748</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>90.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                    <footnoteId id="F1"/>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2015-12-17</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>U</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2576724</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>90.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F2"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Devon Park Associates, L.P. is the holder of record of 9,748 shares of common stock of the Issuer (&quot;Common Stock&quot;). Devon Park Associates, LLC is the general partner of Devon Park Associates, L.P., which is the general partner of Devon Park Bioventures, L.P. Messrs. Marc Ostro, Christopher Moller and Devang Kantesaria are the founding members and managing directors of Devon Park Associates, LLC. Each such founding member (the &quot;Founding Member&quot;) may be deemed to have shared voting and investment power over the shares beneficially owned by Devon Park Associates, L.P. and Devon Park Associates, LLC as described above. Each Founding Member disclaims beneficial ownership of these securities, except to the extent of his pecuniary interest therein, and this report shall not be deemed an admission that the Founding Members are the beneficial owners of such securities for Section 16 or any other purpose.</footnote>
        <footnote id="F2">Devon Park Bioventures, L.P. is the holder of record of 2,576,724 shares of Common Stock.  Devon Park Associates, LLC is the general partner of Devon Park Associates, L.P., which is the general partner of Devon Park Bioventures, L.P. The Founding Members are the managing directors of Devon Park Associates, LLC and each such Founding Member may be deemed to have shared voting and investment power over the shares beneficially owned by the funds as described above. Each Founding Member disclaims beneficial ownership of these securities, except to the extent of his pecuniary interest therein, and this report shall not be deemed an admission that the Founding Members are the beneficial owners of such securities for Section 16 or any other purpose.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Devon Park Bioventures L.P., By: Devon Park Associates L.P., Its General Partner, /s/ Devang Kantesaria</signatureName>
        <signatureDate>2015-12-21</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Devon Park Associates L.P., By: Devon Park Associates LLC., Its General Partner, /s/ Devang Kantesaria</signatureName>
        <signatureDate>2015-12-21</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Devon Park Associates L.L.C., /s/ Devang Kantesaria</signatureName>
        <signatureDate>2015-12-21</signatureDate>
    </ownerSignature>
</ownershipDocument>
