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

    <schemaVersion>X0306</schemaVersion>

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    <periodOfReport>2015-10-01</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001137861</issuerCik>
        <issuerName>WRIGHT MEDICAL GROUP INC</issuerName>
        <issuerTradingSymbol>WMGI</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001138646</rptOwnerCik>
            <rptOwnerName>PALMISANO ROBERT J</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1023 CHERRY ROAD</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>MEMPHIS</rptOwnerCity>
            <rptOwnerState>TN</rptOwnerState>
            <rptOwnerZipCode>38117</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
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            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>President and CEO</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

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            <transactionTimeliness>
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            <transactionAmounts>
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            <transactionTimeliness>
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            <transactionAmounts>
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                <transactionPricePerShare>
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            <expirationDate>
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            <underlyingSecurity>
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        <derivativeTransaction>
            <securityTitle>
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            <transactionDate>
                <value>2015-10-01</value>
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            <deemedExecutionDate></deemedExecutionDate>
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            <transactionTimeliness>
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            <transactionAmounts>
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                <transactionPricePerShare>
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            <exerciseDate>
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            <expirationDate>
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            <transactionTimeliness>
                <value></value>
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                <transactionShares>
                    <value>7702</value>
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                <transactionPricePerShare>
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                    <value>D</value>
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            <expirationDate>
                <value>2024-04-01</value>
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            <securityTitle>
                <value>Outside Director Stock Option (Right to Buy)</value>
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                <value>29.95</value>
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                <value>2015-10-01</value>
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                    <value>125582</value>
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                <transactionPricePerShare>
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                    <value>D</value>
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                <value>2024-05-13</value>
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                    <value>Common Stock</value>
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    <footnotes>
        <footnote id="F1">Disposed of pursuant to the Agreement and Plan of Merger by and among the issuer, Tornier N.V., Trooper Holdings Inc., and Trooper Merger Sub Inc., which became effective on October 1, 2015, in exchange for 150,955 Wright Medical Group N.V.  (&quot;Wright N.V.&quot;) ordinary shares having a market value of $20.39 per share at the effective time of the merger.</footnote>
        <footnote id="F2">The employee stock option vests in equal annual installments over a period of four years after the grant date.</footnote>
        <footnote id="F3">This option was assumed by Wright N.V. in the merger and replaced with an option to purchase 628,849 Wright N.V. at a price of $15.55 per share.</footnote>
        <footnote id="F4">This option was assumed by Wright N.V. in the merger and replaced with an option to purchase 4,112 Wright N.V. at a price of $17.70 per share.</footnote>
        <footnote id="F5">This option was assumed by Wright N.V. in the merger and replaced with an option to purchase 145,500 Wright N.V. at a price of $20.75 per share.</footnote>
        <footnote id="F6">This option was assumed by Wright N.V. in the merger and replaced with an option to purchase 9,771 Wright N.V. at a price of $22.55 per share.</footnote>
        <footnote id="F7">This option was assumed by Wright N.V. in the merger and replaced with an option to purchase 144,625 Wright N.V. at a price of $23.93 per share.</footnote>
        <footnote id="F8">This option was assumed by Wright N.V. in the merger and replaced with an option to purchase 7,939 Wright N.V. at a price of $30.14 per share.</footnote>
        <footnote id="F9">This option was assumed by Wright N.V. in the merger and replaced with an option to purchase 129,462 Wright N.V. at a price of $29.06 per share.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Marija S. Nelson, Attorney-in-fact</signatureName>
        <signatureDate>2015-10-05</signatureDate>
    </ownerSignature>
</ownershipDocument>
