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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-06-08</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001803901</issuerCik>
        <issuerName>Hudson Executive Investment Corp.</issuerName>
        <issuerTradingSymbol>HEC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001814272</rptOwnerCik>
            <rptOwnerName>HEC Sponsor LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O HUDSON EXECUTIVE INVESTMENT CORP.</rptOwnerStreet1>
            <rptOwnerStreet2>570 LEXINGTON AVENUE, 35TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001298718</rptOwnerCik>
            <rptOwnerName>Bergeron Douglas</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O HUDSON EXECUTIVE INVESTMENT CORP.</rptOwnerStreet1>
            <rptOwnerStreet2>570 LEXINGTON AVENUE, 35TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Executive Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001495110</rptOwnerCik>
            <rptOwnerName>Braunstein Douglas L</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O HUDSON EXECUTIVE INVESTMENT CORP.</rptOwnerStreet1>
            <rptOwnerStreet2>570 LEXINGTON AVENUE, 35TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>President, Chairman</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Class B Common Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2020-06-08</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1725000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F1"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>1725000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>10300000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F3"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">The shares of Class B common stock are convertible for shares of the Issuer's Class A common stock as described under the heading &quot;Description of Securities&quot; in the Issuer's Registration Statement on Form S-1 (File No. 333-238583) (the &quot;Registration Statement&quot;) and have no expiration date. The shares of Class B common stock beneficially owned by the Reporting Persons include up to 1,350,000 shares of Class B common stock subject to forfeiture to the Issuer depending on the extent to which the underwriters' over-allotment option is exercised in connection with the Issuer's initial public offering of units, as described in the Registration Statement.</footnote>
        <footnote id="F2">On June 8, 2020, in connection with the increase in the size of its initial public offering, the Issuer effected a stock split of its Class B common Stock.</footnote>
        <footnote id="F3">HEC Sponsor LLC is the record holder of the shares reported herein. Messrs. Bergeron and Braunstein are among the managers of HEC Sponsor LLC and share voting and investment discretion with respect to the common stock held of record by HEC Sponsor LLC. Each of the Messrs. Bergeron and Braunstein disclaims any beneficial ownership of the securities held by HEC Sponsor LLC other than to the extent of any pecuniary interest he may have therein, directly or indirectly.</footnote>
    </footnotes>

    <remarks>See Exhibit 99.1 - Joint Filer Information, which is incorporated herein by reference and describes in further detail the relationships of the Reporting Persons to the Issuer.</remarks>

    <ownerSignature>
        <signatureName>/s/ Roman Ibragimov, Attorney-in-Fact for HEC Sponsor LLC</signatureName>
        <signatureDate>2020-06-08</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Roman Ibragimov, Attorney-in-Fact for Douglas L. Braunstein</signatureName>
        <signatureDate>2020-06-08</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Roman Ibragimov, Attorney-in-Fact for Douglas G. Bergeron</signatureName>
        <signatureDate>2020-06-08</signatureDate>
    </ownerSignature>
</ownershipDocument>
