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

    <schemaVersion>X0508</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2025-09-30</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001009759</issuerCik>
        <issuerName>Capstone Green Energy Holdings, Inc.</issuerName>
        <issuerTradingSymbol>CGEH</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0002013479</rptOwnerCik>
            <rptOwnerName>Canino Vincent J.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CAPSTONE GREEN ENERGY HOLDINGS, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>16640 STAGG ST</rptOwnerStreet2>
            <rptOwnerCity>VAN NUYS</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>91406</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>President &amp; CEO</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>0</aff10b5One>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Voting Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2025-09-30</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>F</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2982</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>2.68</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>467598</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Reflects the deemed disposition of shares of voting common stock to cover the Reporting Person's tax liability in connection with the vesting and settlement of the restricted stock units vested on September 9, 2025.</footnote>
        <footnote id="F2">Includes 300,000 shares of voting common stock underlying restricted stock units that vest in equal annual installments on March 11, 2026, and March 11, 2027, respectively, 16,667 shares of voting common stock underlying restricted stock units that vest in equal annual installments on September 9, 2026, and September 9, 2027, respectively, and 49,250 shares of voting common stock underlying restricted stock units that vest in three equal annual installments commencing on April 3, 2026.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>Vince J. Canino, Reporting Person</signatureName>
        <signatureDate>2025-10-01</signatureDate>
    </ownerSignature>
</ownershipDocument>
