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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2022-07-15</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0000926282</issuerCik>
        <issuerName>ADTRAN Holdings, Inc.</issuerName>
        <issuerTradingSymbol>ADTN</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001605860</rptOwnerCik>
            <rptOwnerName>Theodosopoulos Nikos</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O ADTRAN HOLDINGS, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>901 EXPLORER BLVD.</rptOwnerStreet2>
            <rptOwnerCity>HUNTSVILLE</rptOwnerCity>
            <rptOwnerState>AL</rptOwnerState>
            <rptOwnerZipCode>35806</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>No securities are beneficially owned</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes></footnotes>

    <remarks>Immediately following the Closing of the Exchange Offer (as defined in that certain Business Combination Agreement dated as of August 30, 2021, by and among ADTRAN, Inc., ADVA Optical Networking SE, the Issuer (f/k/a Acorn HoldCo, Inc.), and Acorn MergeCo, Inc.), the reporting person became a member of the Board of Directors of the Issuer.</remarks>

    <ownerSignature>
        <signatureName>/s/ Michael Foliano, by power  of attorney</signatureName>
        <signatureDate>2022-07-18</signatureDate>
    </ownerSignature>
</ownershipDocument>
