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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2017-07-06</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001163348</issuerCik>
        <issuerName>Allied World Assurance Co Holdings, AG</issuerName>
        <issuerTradingSymbol>AWH</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001477854</rptOwnerCik>
            <rptOwnerName>Guinn Patricia Lynn</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>ALLIED WORLD ASSURANCE CO. HOLDINGS, AG</rptOwnerStreet1>
            <rptOwnerStreet2>GUBELSTRASSE 24, PARK TOWER, 15TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>ZUG</rptOwnerCity>
            <rptOwnerState>V8</rptOwnerState>
            <rptOwnerZipCode>6300</rptOwnerZipCode>
            <rptOwnerStateDescription>SWITZERLAND</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2017-07-06</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>U</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2303</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Disposed of in an exchange offer by a wholly-owned subsidiary of Fairfax Financial Holdings Limited, a Canadian corporation (&quot;Fairfax&quot;), to acquire all of the outstanding common shares, par value CHF 4.10 per share, of the Issuer, pursuant to the terms, and subject to the conditions, of that certain Agreement and Plan of Merger, dated as of December 18, 2016, between Fairfax and the Issuer.</footnote>
        <footnote id="F2">Each share of the Issuer was exchanged for (i) cash consideration of $23.00, (ii) a special cash dividend of $5.00 and (iii) 0.057937 of a share of subordinate voting stock of Fairfax.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Theodore Neos, by Power of Attorney</signatureName>
        <signatureDate>2017-07-10</signatureDate>
    </ownerSignature>
</ownershipDocument>
