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

    <schemaVersion>X0508</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2025-03-18</periodOfReport>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001998625</rptOwnerCik>
            <rptOwnerName>Insana Giovanni</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PETCO HEALTH AND WELLNESS COMPANY,</rptOwnerStreet1>
            <rptOwnerStreet2>INC., 10850 VIA FRONTERA</rptOwnerStreet2>
            <rptOwnerCity>SAN DIEGO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92127</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isOfficer>1</isOfficer>
            <officerTitle>See Remarks</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>0</aff10b5One>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2025-03-18</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>F</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness></transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>651</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>2.50</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>521777</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The transaction reported reflects the withholding of restricted stock units (&quot;RSUs&quot;) in satisfaction of the Reporting Person's tax liability. The RSUs were granted to the Reporting Person on March 18, 2022 pursuant to the Petco Health and Wellness Company, Inc. 2021 Equity Incentive Plan (as amended, the &quot;2021 Plan&quot;), and a portion vested on March 18, 2025.</footnote>
        <footnote id="F2">Includes 484,102 outstanding RSUs granted under the 2021 Plan. Each RSU represents the right to receive one share of Class A common stock of the Issuer.</footnote>
    </footnotes>

    <remarks>Chief Legal Officer and Secretary</remarks>

    <ownerSignature>
        <signatureName>/s/ Giovanni Insana</signatureName>
        <signatureDate>2025-03-20</signatureDate>
    </ownerSignature>
</ownershipDocument>
