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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2021-08-26</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001777946</issuerCik>
        <issuerName>IronNet, Inc.</issuerName>
        <issuerTradingSymbol>IRNT</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001659719</rptOwnerCik>
            <rptOwnerName>Alexander Keith Brian</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O IRONNET, INC., 7900 TYSONS ONE PLACE</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 400</rptOwnerStreet2>
            <rptOwnerCity>MCLEAN</rptOwnerCity>
            <rptOwnerState>VA</rptOwnerState>
            <rptOwnerZipCode>22102</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Co-CEO, President &amp; Chairman</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2021-08-26</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>11370495</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F3"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>11370495</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Received on August 26, 2021 pursuant to the Agreement and Plan of Reorganization and Merger, dated as of March 15, 2021, as amended by Amendment No. 1 to Agreement and Plan of Reorganization and Merger, dated as of August 6, 2021 (the &quot;Merger Agreement&quot;), by and among LGL Systems Acquisition Corp. (&quot;LGL&quot;), LGL Systems Merger Sub Inc., a Delaware corporation and wholly owned subsidiary of LGL, and IronNet Cybersecurity, Inc., a Delaware corporation (the &quot;Business Combination&quot;).</footnote>
        <footnote id="F2">The Reporting Person may also receive, as additional merger consideration, 160,154 shares of the Issuer's common stock if the volume weighted average share price of the Issuer's common stock equals or exceeds $13.00 for ten consecutive days during the two year period following the closing of the Business Combination.</footnote>
        <footnote id="F3">Received in the Business Combination in exchange for 13,966,830 shares of IronNet Cybersecurity, Inc.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ James Gerber, Attorney-in-Fact</signatureName>
        <signatureDate>2021-08-30</signatureDate>
    </ownerSignature>
</ownershipDocument>
