French term (edited): délégataires de gestion

You haven't provided any context for your header term "délégatire [sic] de gestion* en assurance santé" and I suspect that collocation doesn't come directly from your source text. However, if it does, then: "health insurance management services providers" should fit the bill.

This has come up before in KudoZ, but I think that the answer selected then was wrong. https://www.proz.com/kudoz/french_to_english/bus_financial/3...

clearwaterinternational.com/clearwater-advises-sovereign-capital-partners-acquisition-...
Oct 7, 2013 - ... Crewe-based accident management services provider Kindertons, for an ... insurers and insurance brokers together with claims management ...

broker.insurance-business-review.com › Intermediaries › Brokerage
... firm Seventeen Group has acquired Everard Insurance Brokers (Everards), ... Insurance broking and risk management services provider Marsh has agreed to ...

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Note added at 12 hrs (2018-08-01 09:26:44 GMT)
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https://www.cegedim-insurance.com/fr-FR/solutions-services/s...
"L’évolution du contexte réglementaire entraine la standardisation des contrats d’assurance complémentaires.

"Afin de rester compétitif, la maîtrise des dépenses est nécessaire. La délégation de gestion a un double avantage : optimiser sa rentabilité, et proposer de nouveaux services innovants afin d’améliorer son image de marque.

"Que vous optiez pour une délégation totale ou partielle des modules métiers ou de votre portefeuille de contrats, iGestion, filiale de Cegedim Insurance Solutions, ajuste son offre à vos besoins"

https://www.enow.com/content?q=health management...
hma health insurance · health insurance management system · insurance management services provider portal ·

https://www.healthinsurancedaily.com/health-insurance/produc...
Mar 30, 2017 - ... its partnership with Concur brings together a leading travel risk technology provider with a leading travel risk management services provider.

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Note added at 12 hrs (2018-08-01 09:35:34 GMT)
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Note that, on their English webpage, Cegedim call this "third-party administration" and it seems that this is an accepted term for provision of management services for insurance. So, having checked this out and found that it is widely used, I now think that the best translation in this context is "Third-party administrators".

https://www.bayt.com/.../what-is-the-difference-between-a-tp...
Insurance brokers can give you technical advice that can be very useful if ... Third-party administrators(TPA) are prominent players in the Health ...

https://www.cegedim-insurance.com/en-EN/solutions-services/s...