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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2023-02-01</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001469443</issuerCik>
        <issuerName>Arcadia Biosciences, Inc.</issuerName>
        <issuerTradingSymbol>RKDA</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001960808</rptOwnerCik>
            <rptOwnerName>Schaefer Thomas J.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O ARCADIA BIOSCIENCES</rptOwnerStreet1>
            <rptOwnerStreet2>202 COUSTEAU PLACE, SUITE 105</rptOwnerStreet2>
            <rptOwnerCity>DAVIS</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>95618</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>2023-02-01</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>700</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.23</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2800</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Reflects the purchase of 700 shares of the Issuer's common stock on 2/1/23 at a per share purchase price of $0.23 pursuant to participation in the Issuer's 2015 Employee Stock Purchase Plan (&quot;ESPP&quot;). This transaction is exempt from Rule 16b-3(c). In accordance with the ESPP, these shares were purchased at a price equal to 85% of the closing price of Issuer's common stock.</footnote>
        <footnote id="F2">The amount includes the 2015 Employee Stock Purchase Plan (&quot;ESPP&quot;) purchases, for the purchase periods from February 1, 2021 to February 1, 2023. These transactions were exempt from Rule 16b-3(c). In accordance with the ESPP, these shares were purchased at a price equal to 85% of the closing price of Issuer's Common Stock on the date of each respective purchase.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Thomas Schaefer, by Attorney-in-fact, Solaeta Chan</signatureName>
        <signatureDate>2023-02-02</signatureDate>
    </ownerSignature>
</ownershipDocument>
