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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2021-11-29</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001844507</issuerCik>
        <issuerName>Achari Ventures Holdings Corp. I</issuerName>
        <issuerTradingSymbol>AVHI</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001844493</rptOwnerCik>
            <rptOwnerName>Achari Sponsor Holdings I LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O ACHARI VENTURES HOLDINGS CORP. I</rptOwnerStreet1>
            <rptOwnerStreet2>60 WALNUT AVENUE, SUITE 400</rptOwnerStreet2>
            <rptOwnerCity>CLARK</rptOwnerCity>
            <rptOwnerState>NJ</rptOwnerState>
            <rptOwnerZipCode>07066</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, par value $0.0001</value>
            </securityTitle>
            <transactionDate>
                <value>2021-11-29</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>375000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2500000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">As described in Achari Ventures Holdings Corp. I's (the &quot;Issuer&quot;) registration statement on Form S-1 (File No. 333-258476), as amended (the &quot;Registration Statement&quot;) and the Reporting Person's Initial Statement of Beneficial Ownership of Securities on Form 3, there were 375,000 shares of common stock, par value $0.0001 per share (the &quot;Common Stock&quot;), subject to forfeiture to the extent that the underwriters did not fully or partially exercise their over-allotment option in the Issuer's initial public offering of its securities. The underwriters did not exercise their over-allotment option, resulting in the Reporting Person forfeiting 375,000 shares of Common Stock.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Achari Sponsor Holdings I LLC, By: /s/ Vikas Desai, Name: Vikas Desai, Title: Managing Member</signatureName>
        <signatureDate>2022-02-22</signatureDate>
    </ownerSignature>
</ownershipDocument>
