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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4/A</documentType>

    <periodOfReport>2021-04-18</periodOfReport>

    <dateOfOriginalSubmission>2021-04-18</dateOfOriginalSubmission>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001841408</issuerCik>
        <issuerName>VPC Impact Acquisition Holdings III, Inc.</issuerName>
        <issuerTradingSymbol>VPCC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001842053</rptOwnerCik>
            <rptOwnerName>VPC Impact Acquisition Holdings Sponsor III, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O VICTORY PARK CAPITAL ADVISORS, LLC</rptOwnerStreet1>
            <rptOwnerStreet2>150 NORTH RIVERSIDE PLAZA, SUITE 5200</rptOwnerStreet2>
            <rptOwnerCity>CHICAGO</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60606</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>See Remarks</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001413810</rptOwnerCik>
            <rptOwnerName>Levy Richard N</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O VICTORY PARK CAPITAL ADVISORS, LLC</rptOwnerStreet1>
            <rptOwnerStreet2>150 NORTH RIVERSIDE PLAZA, SUITE 5200</rptOwnerStreet2>
            <rptOwnerCity>CHICAGO</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60606</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Class B Common Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2021-04-18</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>0</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F2"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>0</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>6284150</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F3"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">On March 12, 2021, VPC Impact Acquisition Holdings Sponsor III, LLC forfeited at no cost 124,600 shares of Class B common stock of the Issuer in connection with the underwriters' election to only partially exercise its over-allotment option.</footnote>
        <footnote id="F2">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. 333-252577) (the &quot;Registration Statement&quot;) and have no expiration date.</footnote>
        <footnote id="F3">VPC Impact Acquisition Holdings Sponsor III, LLC is the record holder of the securities reported herein. Richard N. Levy, as Chief Executive Officer and Founder of Victory Park Capital Advisors, LLC, has voting and investment discretion with respect to the securities held of record by VPC Impact Acquisition Holdings Sponsor III, LLC. Mr. Levy disclaims any beneficial ownership of the securities held by VPC Impact Acquisition Holdings Sponsor III, LLC other than to the extent of any pecuniary interest he may have therein, directly or indirectly.</footnote>
    </footnotes>

    <remarks>Director by Deputization 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.
The Form 4, as originally filed on April 18, 2021, incorrectly reported a disposal of 124,600 shares. No transaction occurred on April 18, 2021 that required the Form 4 filed on April 18, 2021. The correct amount of shares held by the filer is 6,274,150.</remarks>

    <ownerSignature>
        <signatureName>/s/ Eric Clamage, Attorney-in-Fact for VPC Acquisition Holdings Sponosr III, LLC</signatureName>
        <signatureDate>2021-04-29</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Eric Clamage, Attorney-in-Fact for Richard N. Levy</signatureName>
        <signatureDate>2021-04-29</signatureDate>
    </ownerSignature>
</ownershipDocument>
