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

    <schemaVersion>X0708</schemaVersion>

    <submissionType>D</submissionType>

    <testOrLive>LIVE</testOrLive>

    <primaryIssuer>
        <cik>0002130645</cik>
        <entityName>Artemis Real Estate Partners Healthcare Fund Ill (Parallel), L.P.</entityName>
        <issuerAddress>
            <street1>5404 WISCONSIN AVE, SUITE 1000</street1>
            <city>CHEVY CHASE</city>
            <stateOrCountry>MD</stateOrCountry>
            <stateOrCountryDescription>MARYLAND</stateOrCountryDescription>
            <zipCode>20815</zipCode>
        </issuerAddress>
        <issuerPhoneNumber>240-235-2024</issuerPhoneNumber>
        <jurisdictionOfInc>DELAWARE</jurisdictionOfInc>
        <issuerPreviousNameList>
            <value>None</value>
        </issuerPreviousNameList>
        <edgarPreviousNameList>
            <value>None</value>
        </edgarPreviousNameList>
        <entityType>Limited Partnership</entityType>
        <yearOfInc>
            <withinFiveYears>true</withinFiveYears>
            <value>2026</value>
        </yearOfInc>
    </primaryIssuer>

    <relatedPersonsList>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Deborah</firstName>
                <middleName>L.</middleName>
                <lastName>Harmon</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>5404 Wisconsin Avenue</street1>
                <street2>Suite 1000</street2>
                <city>Chevy Chase</city>
                <stateOrCountry>MD</stateOrCountry>
                <stateOrCountryDescription>MARYLAND</stateOrCountryDescription>
                <zipCode>20815</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification></relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Alex</firstName>
                <middleName>P.</middleName>
                <lastName>Gilbert</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>5404 Wisconsin Avenue</street1>
                <street2>Suite 1000</street2>
                <city>Chevy Chase</city>
                <stateOrCountry>MD</stateOrCountry>
                <stateOrCountryDescription>MARYLAND</stateOrCountryDescription>
                <zipCode>20815</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification></relationshipClarification>
        </relatedPersonInfo>
    </relatedPersonsList>

    <offeringData>
        <industryGroup>
            <industryGroupType>Pooled Investment Fund</industryGroupType>
            <investmentFundInfo>
                <investmentFundType>Private Equity Fund</investmentFundType>
                <is40Act>false</is40Act>
            </investmentFundInfo>
        </industryGroup>
        <issuerSize>
            <revenueRange>Decline to Disclose</revenueRange>
        </issuerSize>
        <federalExemptionsExclusions>
            <item>06b</item>
            <item>3C</item>
            <item>3C.5</item>
            <item>3C.7</item>
        </federalExemptionsExclusions>
        <typeOfFiling>
            <newOrAmendment>
                <isAmendment>false</isAmendment>
            </newOrAmendment>
            <dateOfFirstSale>
                <yetToOccur>true</yetToOccur>
            </dateOfFirstSale>
        </typeOfFiling>
        <durationOfOffering>
            <moreThanOneYear>false</moreThanOneYear>
        </durationOfOffering>
        <typesOfSecuritiesOffered>
            <isPooledInvestmentFundType>true</isPooledInvestmentFundType>
        </typesOfSecuritiesOffered>
        <businessCombinationTransaction>
            <isBusinessCombinationTransaction>false</isBusinessCombinationTransaction>
            <clarificationOfResponse></clarificationOfResponse>
        </businessCombinationTransaction>
        <minimumInvestmentAccepted>0</minimumInvestmentAccepted>
        <salesCompensationList></salesCompensationList>
        <offeringSalesAmounts>
            <totalOfferingAmount>Indefinite</totalOfferingAmount>
            <totalAmountSold>0</totalAmountSold>
            <totalRemaining>Indefinite</totalRemaining>
            <clarificationOfResponse>First sale yet to occur.</clarificationOfResponse>
        </offeringSalesAmounts>
        <investors>
            <hasNonAccreditedInvestors>false</hasNonAccreditedInvestors>
            <totalNumberAlreadyInvested>0</totalNumberAlreadyInvested>
        </investors>
        <salesCommissionsFindersFees>
            <salesCommissions>
                <dollarAmount>0</dollarAmount>
            </salesCommissions>
            <findersFees>
                <dollarAmount>0</dollarAmount>
            </findersFees>
            <clarificationOfResponse></clarificationOfResponse>
        </salesCommissionsFindersFees>
        <useOfProceeds>
            <grossProceedsUsed>
                <dollarAmount>0</dollarAmount>
            </grossProceedsUsed>
            <clarificationOfResponse>An affiliate of the general partner of the Issuer will receive an annual management fee based on the capital commitments of limited partners of the Issuer during the commitment period and based on invested capital thereafter.</clarificationOfResponse>
        </useOfProceeds>
        <signatureBlock>
            <authorizedRepresentative>false</authorizedRepresentative>
            <signature>
                <issuerName>Artemis Real Estate Partners Healthcare Fund Ill (Parallel), L.P.</issuerName>
                <signatureName>Chad Patterson</signatureName>
                <nameOfSigner>Chad Patterson</nameOfSigner>
                <signatureTitle>Vice President of the GP of the Issuer</signatureTitle>
                <signatureDate>2026-04-29</signatureDate>
            </signature>
        </signatureBlock>
    </offeringData>
</edgarSubmission>