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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2017-02-17</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001368326</rptOwnerCik>
            <rptOwnerName>Grossack Marshall J</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>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>EVP, Chief Actuary</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

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                <sharesOwnedFollowingTransaction>
                    <value>208905</value>
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        <nonDerivativeTransaction>
            <securityTitle>
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            <transactionDate>
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            <transactionAmounts>
                <transactionShares>
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                <transactionPricePerShare>
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    <derivativeTable>
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                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>763</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F9"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F9"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>763</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>8372</value>
                    <footnoteId id="F10"/>
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                    <value>D</value>
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            <conversionOrExercisePrice>
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            <transactionDate>
                <value>2017-02-18</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
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                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>876</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F5"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F11"/>
            </exerciseDate>
            <expirationDate>
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            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>876</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
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                <sharesOwnedFollowingTransaction>
                    <value>7496</value>
                    <footnoteId id="F10"/>
                </sharesOwnedFollowingTransaction>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
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        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Restricted Stock Units</value>
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            <transactionDate>
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            <deemedExecutionDate></deemedExecutionDate>
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                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2208</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F7"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
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            <exerciseDate>
                <footnoteId id="F12"/>
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            <expirationDate>
                <footnoteId id="F12"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
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                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>5288</value>
                    <footnoteId id="F10"/>
                </sharesOwnedFollowingTransaction>
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        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">On February 17, 2015, the reporting person was granted 3,050 Restricted Stock Units for no monetary consideration.  The Restricted Stock Units convert into (i) 1,830 common shares and (ii) cash equal to the market value of 1,220 common shares (measured at the date of vesting) upon the vesting of such Restricted Stock Units.</footnote>
        <footnote id="F2">Includes 675 common shares acquired on June 30, 2016 pursuant to the Company's Amended and Restated 2008 Employee Share Purchase Plan.</footnote>
        <footnote id="F3">The fair market value of the cash portion was determined using the daily volume-weighted average sales price of the common shares for the five consecutive trading days up to and including February 17, 2017.</footnote>
        <footnote id="F4">Exclusively represents shares withheld by the Company with respect to the payment of withholding tax liability incurred upon the vesting of Restricted Stock Units.</footnote>
        <footnote id="F5">On February 18, 2014, the reporting person was granted 3,516 Restricted Stock Units for no monetary consideration.  The Restricted Stock Units convert into (i) 1,758 common shares and (ii) cash equal to the market value of 1,758 common shares (measured at the date of vesting) upon the vesting of such Restricted Stock Units.</footnote>
        <footnote id="F6">The fair market value of the cash portion was determined using the daily volume-weighted average sales price of the common shares for the five consecutive trading days prior to February 18, 2017.</footnote>
        <footnote id="F7">On February 19, 2013, the reporting person was granted 8,829 Restricted Stock Units for no monetary consideration.  The Restricted Stock Units convert into cash equal to the market value of 8,829 common shares (measured at the date of vesting) upon the vesting of such Restricted Stock Units.</footnote>
        <footnote id="F8">The fair market value was determined using the daily volume-weighted average sales price of the common shares for the five consecutive trading days prior to February 19, 2017.</footnote>
        <footnote id="F9">The Restricted Stock Units vest in four equal installments with the first installment vesting on February 17, 2016.</footnote>
        <footnote id="F10">Represents Restricted Stock Units held by the reporting person that vest in whole or in part in cash.</footnote>
        <footnote id="F11">The Restricted Stock Units vest in four equal installments with the first installment vesting on February 18, 2015.</footnote>
        <footnote id="F12">The Restricted Stock Units vest in four equal installments with the first installment vesting on February 19, 2014.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Theodore Neos, by Power of Attorney</signatureName>
        <signatureDate>2017-02-22</signatureDate>
    </ownerSignature>
</ownershipDocument>
