<?xml version="1.0"?>
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    <periodOfReport>2019-07-09</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

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        <issuerName>RED HAT INC</issuerName>
        <issuerTradingSymbol>RHT</issuerTradingSymbol>
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            <rptOwnerName>GUPTA NARENDRA</rptOwnerName>
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        <reportingOwnerAddress>
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            <rptOwnerCity>RALEIGH</rptOwnerCity>
            <rptOwnerState>NC</rptOwnerState>
            <rptOwnerZipCode>27601</rptOwnerZipCode>
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    <footnotes>
        <footnote id="F1">Pursuant to the Agreement and Plan of Merger dated as of October 28, 2018, by and among International Business Machines Corporation (&quot;IBM&quot;), Socrates Acquisition Corp. and Red Hat, common shares of Red Hat were disposed of for cash consideration of $190.00 per share.</footnote>
        <footnote id="F2">Each deferred stock unit represents a right to receive one share of Red Hat common stock.</footnote>
        <footnote id="F3">All Deferred Stock Units (DSUs) were canceled pursuant to the merger agreement for cash consideration of $190.00 per unit.</footnote>
        <footnote id="F4">This DSU was granted on July 16, 2008 pursuant to Red Hat's Non-Employee Director Compensation Plan, in lieu of all or a portion of an annual grant of restricted stock, and vested on the first anniversary of the date of grant and would ordinarily have been settled in shares of Red Hat common stock upon termination of the Reporting Person's Board of Director service.</footnote>
        <footnote id="F5">This DSU was granted on July 16, 2009 pursuant to Red Hat's Non-Employee Director Compensation Plan, in lieu of all or a portion of an annual grant of restricted stock, and vested on the first anniversary of the date of grant and would ordinarily have been settled in shares of Red Hat common stock upon termination of the Reporting Person's Board of Director service.</footnote>
        <footnote id="F6">This DSU was granted on July 16, 2010 pursuant to Red Hat's Non-Employee Director Compensation Plan, in lieu of all or a portion of an annual grant of restricted stock, and vested on the first anniversary of the date of grant and would ordinarily have been settled in shares of Red Hat common stock upon termination of the Reporting Person's Board of Director service.</footnote>
        <footnote id="F7">This DSU was granted on July 18, 2011 pursuant to Red Hat's Non-Employee Director Compensation Plan, in lieu of all or a portion of an annual grant of restricted stock, and vested on the first anniversary of the date of grant and would ordinarily have been settled in shares of Red Hat common stock upon termination of the Reporting Person's Board of Director service.</footnote>
        <footnote id="F8">This DSU was granted on July 16, 2012 pursuant to Red Hat's Non-Employee Director Compensation Plan, in lieu of all or a portion of an annual grant of restricted stock, and vested on the first anniversary of the date of grant and would ordinarily have been settled in shares of Red Hat common stock upon termination of the Reporting Person's Board of Director service.</footnote>
        <footnote id="F9">This DSU was granted on July 16, 2013 pursuant to Red Hat's Non-Employee Director Compensation Plan, in lieu of all or a portion of an annual grant of restricted stock, and vested on the first anniversary of the date of grant and would ordinarily have been settled in shares of Red Hat common stock upon termination of the Reporting Person's Board of Director service.</footnote>
        <footnote id="F10">This DSU was granted on July 16, 2014 pursuant to Red Hat's Non-Employee Director Compensation Plan, in lieu of all or a portion of an annual grant of restricted stock, and vested on the first anniversary of the date of grant and would ordinarily have been settled in shares of Red Hat common stock upon termination of the Reporting Person's Board of Director service.</footnote>
        <footnote id="F11">This DSU was granted on July 16, 2015 pursuant to Red Hat's Non-Employee Director Compensation Plan, in lieu of all or a portion of an annual grant of restricted stock, and vested on the first anniversary of the date of grant and would ordinarily have been settled in shares of Red Hat common stock upon termination of the Reporting Person's Board of Director service.</footnote>
        <footnote id="F12">This DSU was granted on July 18, 2016 pursuant to Red Hat's Non-Employee Director Compensation Plan, in lieu of all or a portion of an annual grant of restricted stock, and vested on the first anniversary of the date of grant and would ordinarily have been settled in shares of Red Hat common stock upon termination of the Reporting Person's Board of Director service.</footnote>
        <footnote id="F13">This DSU was granted on July 17, 2017 pursuant to Red Hat's Non-Employee Director Compensation Plan, in lieu of all or a portion of an annual grant of restricted stock, and vested on the first anniversary of the date of grant and would ordinarily have been settled in shares of Red Hat common stock upon termination of the Reporting Person's Board of Director service.</footnote>
        <footnote id="F14">Ths DSU was granted on July 16, 2018 pursuant to Red Hat's Non-Employee Director Compensation Plan, in lieu of all or a portion of an annual grant of restricted stock, and would ordinarily have vested on the first anniversary of the date of grant and settled in shares of Red Hat common stock upon termination of the Reporting Person's Board of Director service.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/Will Howard Atty in Fact UPOA</signatureName>
        <signatureDate>2019-07-09</signatureDate>
    </ownerSignature>
</ownershipDocument>
