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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-09-30</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001807427</issuerCik>
        <issuerName>Owl Rock Capital Corp III</issuerName>
        <issuerTradingSymbol>NONE</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001812407</rptOwnerCik>
            <rptOwnerName>ORCC III Warehouse L.L.C.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>3953 MAPLE AVENUE, SUITE 250</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>DALLAS</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>75219</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001820184</rptOwnerCik>
            <rptOwnerName>Oak Lawn Direct Investors GP, L.L.C.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>3953 MAPLE AVENUE, SUITE 250</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>DALLAS</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>75219</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001820195</rptOwnerCik>
            <rptOwnerName>I35 Advisors, Inc.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>3953 MAPLE AVENUE, SUITE 250</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>DALLAS</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>75219</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001786096</rptOwnerCik>
            <rptOwnerName>CH Investment Partners, L.L.C.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>3953 MAPLE AVENUE, SUITE 250</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>DALLAS</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>75219</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001820170</rptOwnerCik>
            <rptOwnerName>Rimer Kirk L.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>3953 MAPLE AVENUE, SUITE 250</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>DALLAS</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>75219</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001820229</rptOwnerCik>
            <rptOwnerName>Silverman Michael R.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>3953 MAPLE AVENUE, SUITE 250</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>DALLAS</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>75219</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 $0.01 per share</value>
            </securityTitle>
            <transactionDate>
                <value>2020-08-13</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>X</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>410677.02</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>14.21</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2071436.768</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Obligation to Buy</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>14.21</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2020-09-30</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>X</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>410677.02</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F3"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F3"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>410677.02</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">On September 30, 2020, Owl Rock Capital Corporation III, a Maryland corporation (the &quot;Issuer&quot;) issued 410,677.02 of its shares of common stock, par value $0.01 per share to ORCC III Warehouse L.L.C., a Delaware limited liability company (&quot;ORCC III Warehouse&quot;) in connection with a mandatory capital call made by the Issuer pursuant to the terms and conditions of the Subscription Agreement previously entered into between ORCC III Warehouse and the Issuer.</footnote>
        <footnote id="F2">This Form 4 is being jointly filed by and on behalf of each of ORCC III Warehouse L.L.C., Oak Lawn Direct Investors GP, L.L.C., a Delaware limited liability company (&quot;Oak Lawn&quot;), CH Investment Partners, L.L.C., a Delaware limited liability company (&quot;CHIP&quot;), I35 Advisors, Inc., a Texas corporation (&quot;I35&quot;), Kirk L. Rimer and Michael R. Silverman. ORCC III Warehouse is the record and direct beneficial owner of the securities covered by this statement. Oak Lawn is the managing member of, and may be deemed to beneficially own securities owned by, ORCC III Warehouse.</footnote>
        <footnote id="F3">CHIP serves as the investment manager to ORCC III Warehouse and has been granted exclusive investment discretion and investment management authority with respect to ORCC III Warehouse and its investments, including the securities covered by this statement, but CHIP generally must seek voting instructions from the members of ORCC III Warehouse and vote in accordance with such instructions. I35 is the manager of, and may be deemed to beneficially own securities beneficially owned by, Oak Lawn. Michael Silverman and Kirk Rimer serve as Co-Presidents of I35, and may be deemed to beneficially own securities beneficially owned by, I35.</footnote>
        <footnote id="F4">Each reporting person states that neither the filing of this statement nor anything herein shall be deemed an admission that such reporting person is, for purposes of Section 16 of the Securities Exchange Act of 1934, as amended or otherwise, the beneficial owner of any securities covered by this statement. Each reporting person disclaims beneficial ownership of the securities covered by this statement, except to the extent of the pecuniary interest of such reporting person in such securities.</footnote>
    </footnotes>

    <remarks>Exhibit Index
Exhibit 24.1 - Power of Attorney (incorporated by reference to Exhibit 24.1 to the Form 3 filed on August 4, 2020)</remarks>

    <ownerSignature>
        <signatureName>ORCC III WAREHOUSE L.L.C., By: Oak Lawn Direct Investors GP, L.L.C., Its: Managing Member, By: I35 Advisors, Inc., Its: Manager, By: s/ Diane Tobin, Name: Diane Tobin, Title: Authorized Signatory</signatureName>
        <signatureDate>2020-10-02</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>OAK LAWN DIRECT INVESTORS GP, L.L.C., By: I35 Advisors, Inc., Its: Manager, By: /s/ Diane Tobin, Name: Diane Tobin, Title: Authorized Signatory</signatureName>
        <signatureDate>2020-10-02</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>I35 ADVISORS, INC., By: /s/ Diane Tobin, Name: Diane Tobin, Title: Authorized Signatory</signatureName>
        <signatureDate>2020-10-02</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>CH INVESTMENT PARTNERS, L.L.C., By: Oak Lawn Capital Management, L.P., Its: Managing Member, By: I35 Advisors, Inc., Its: General Partner, By: /s/ Diane Tobin, Name: Diane Tobin, Title: Authorized Signatory</signatureName>
        <signatureDate>2020-10-02</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>KIRK L. RIMER, By: /s/ Diane Tobin, Name: Diane Tobin, Title: Authorized Signatory</signatureName>
        <signatureDate>2020-10-02</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>MICHAEL R. SILVERMAN, By: /s/ Diane Tobin, Name: Diane Tobin, Title: Authorized Signatory</signatureName>
        <signatureDate>2020-10-02</signatureDate>
    </ownerSignature>
</ownershipDocument>
