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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2021-04-21</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001844862</issuerCik>
        <issuerName>Decarbonization Plus Acquisition Corp III</issuerName>
        <issuerTradingSymbol>DCRC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001844863</rptOwnerCik>
            <rptOwnerName>Decarbonization Plus Acquisition Sponsor III LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O RIVERSTONE HOLDINGS LLC</rptOwnerStreet1>
            <rptOwnerStreet2>712 FIFTH AVENUE, 36TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10019</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001247497</rptOwnerCik>
            <rptOwnerName>RIVERSTONE HOLDINGS LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O RIVERSTONE HOLDINGS LLC</rptOwnerStreet1>
            <rptOwnerStreet2>712 FIFTH AVENUE, 36TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10019</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001222726</rptOwnerCik>
            <rptOwnerName>LEUSCHEN DAVID M</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O RIVERSTONE HOLDINGS LLC</rptOwnerStreet1>
            <rptOwnerStreet2>712 FIFTH AVENUE, 36TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10019</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001232151</rptOwnerCik>
            <rptOwnerName>LAPEYRE PIERRE F JR</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O RIVERSTONE HOLDINGS LLC</rptOwnerStreet1>
            <rptOwnerStreet2>712 FIFTH AVENUE, 36TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10019</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, par value $0.0001 per share</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2021-04-21</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>40000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.0001</value>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F1"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock, par value $0.0001 per share</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>40000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>9702500</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnotes</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">The shares of Class B Common Stock are convertible into shares of the Issuer's Class A Common Stock on a one-for-one basis, subject to adjustment pursuant to certain anti-dilution rights, and have no expiration date.</footnote>
        <footnote id="F2">Pursuant to the Securities Agreement, dated April 21, 2021, by and among the Issuer, Decarbonization Plus Acquisition Sponsor III LLC and Michael Warren, the Reporting person acquired 40,000 shares of Class B Common Stock from the Issuer following Michael Warren's resignation from the board of directors of the Issuer and forfeiture of an equivalent number of shares of Class B Common Stock of the Issuer.</footnote>
        <footnote id="F3">Decarbonization Plus Acquisition Sponsor III LLC is the record holder of the shares reported herein. David M. Leuschen and Pierre F. Lapeyre, Jr. are the managing directors of Riverstone Holdings LLC, which is the sole and managing member of Decarbonization Plus Acquisition Sponsor III LLC.</footnote>
        <footnote id="F4">Each of Riverstone Holdings, LLC, Mr. Leuschen and Mr. Lapeyre may be deemed to have or share beneficial ownership of the common stock held directly by Decarbonization Plus Acquisition Sponsor III LLC. Each such entity or person disclaims any such beneficial ownership of such securities except to the extent of their pecuniary interest therein, and this report shall not be deemed an admission that the reporting person is the beneficial owner of the securities for purposes of Section 16 or for any other purpose.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Decarbonization Plus Acquisition Sponsor III LLC, /s/ Peter Haskopoulos, Managing Director</signatureName>
        <signatureDate>2021-04-22</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Riverstone Holdings LLC, /s/ Peter Haskopoulos, Authorized Person</signatureName>
        <signatureDate>2021-04-22</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>David M. Leuschen, /s/ Peter Haskopoulos, Attorney-in-fact</signatureName>
        <signatureDate>2021-04-22</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Pierre F. Lapeyre, Jr., /s/ Peter Haskopoulos, Attorney-in-fact</signatureName>
        <signatureDate>2021-04-22</signatureDate>
    </ownerSignature>
</ownershipDocument>
