<?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>0001880065</rptOwnerCik>
            <rptOwnerName>Gerber James C</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>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Financial Officer</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>871313</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F4"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>871313</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option (Right to Buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.58</value>
            </conversionOrExercisePrice>
            <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>81410</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F6"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F5"/>
            </exerciseDate>
            <expirationDate>
                <value>2027-04-23</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>81412</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>81412</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <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">Includes (i) 776,471 shares of the Issuer's common stock received in connection with the Business Combination and (ii) 94,842 shares underlying restricted stock units. Each restricted stock unit represents a contingent right to receive one share of common stock of the Issuer. Of the shares underlying restricted stock units, approximately 75,430 shares will be vested as of February 22, 2022, with the remaining shares vesting monthly thereafter in accordance with the service-based conditions of the award, such that all such shares will be vested on February 10, 2025, subject to the Reporting Person's continuous service as of such vesting date.</footnote>
        <footnote id="F3">The Reporting Person may also receive, as additional merger consideration, 12,454 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="F4">Received in the Business Combination in exchange for (i) 953,770 shares of IronNet Cybersecurity, Inc.; and (ii) restricted stock units representing  the right to acquire 116,500 shares of IronNet Cybersecurity, Inc.</footnote>
        <footnote id="F5">The option is fully vested and immediately exercisable.</footnote>
        <footnote id="F6">Received in the Business Combination in exchange for an employee stock option to acquire 100,000 shares of IronNet Cybersecurity, Inc. common stock for $0.47 per share.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ James Gerber</signatureName>
        <signatureDate>2021-08-30</signatureDate>
    </ownerSignature>
</ownershipDocument>
