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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2021-06-01</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001826470</issuerCik>
        <issuerName>Petco Health &amp; Wellness Company, Inc.</issuerName>
        <issuerTradingSymbol>WOOF</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001838892</rptOwnerCik>
            <rptOwnerName>Scooby Aggregator, LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CVC CAPITAL PARTNERS</rptOwnerStreet1>
            <rptOwnerStreet2>ONE MARITIME PLAZA, 16TH FL, 300 CLAY ST</rptOwnerStreet2>
            <rptOwnerCity>SAN FRANCISCO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94111</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001663995</rptOwnerCik>
            <rptOwnerName>Scooby LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CVC CAPITAL PARTNERS</rptOwnerStreet1>
            <rptOwnerStreet2>ONE MARITIME PLAZA, 16TH FL, 300 CLAY ST</rptOwnerStreet2>
            <rptOwnerCity>SAN FRANCISCO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94111</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001838893</rptOwnerCik>
            <rptOwnerName>Scooby GP LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CVC CAPITAL PARTNERS</rptOwnerStreet1>
            <rptOwnerStreet2>ONE MARITIME PLAZA, 16TH FL, 300 CLAY ST</rptOwnerStreet2>
            <rptOwnerCity>SAN FRANCISCO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94111</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001838889</rptOwnerCik>
            <rptOwnerName>Scooby Aggregator GP, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CVC CAPITAL PARTNERS</rptOwnerStreet1>
            <rptOwnerStreet2>ONE MARITIME PLAZA, 16TH FL, 300 CLAY ST</rptOwnerStreet2>
            <rptOwnerCity>SAN FRANCISCO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94111</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2021-06-01</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>22000000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>23.16</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>149224140</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Scooby Aggregator, LP</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">These securities are held of record by Scooby Aggregator, LP. The general partner of Scooby Aggregator LP is Scooby Aggregator GP, LLC, a member-managed limited liability company whose sole member is Scooby LP. The general partner of Scooby LP is Scooby GP LLC, a member-managed limited liability company whose sole members are CVC Pet LP and Canada Pension Plan Investment Board (&quot;CPP Investments&quot;). Each of Scooby Aggregator LP, Scooby LP, Scooby GP LLC, CVC Pet LP and CPP Investments disclaims beneficial ownership of the securities reported herein for purposes of Rule 16a-1(a) under the Securities and Exchange Act of 1934, as amended, except to the extent of their pecuniary interest therein, if any.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Scooby LP; By Scooby GP, LLC, its general partner; By /s/ Cameron Breitner, Authorized Signatory</signatureName>
        <signatureDate>2021-06-01</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Scooby GP, LLC; By /s/ Cameron Breitner, Authorized Signatory</signatureName>
        <signatureDate>2021-06-01</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Scooby Aggregator, LP; By Scooby Aggregator GP, LLC, its general partner; By /s/ Cameron Breitner, Authorized Signatory</signatureName>
        <signatureDate>2021-06-01</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Scooby Aggregator GP, LLC; By Scooby LP, its sole member; By /s/ Cameron Breitner, Authorized Signatory</signatureName>
        <signatureDate>2021-06-01</signatureDate>
    </ownerSignature>
</ownershipDocument>
