The term used for after care support in France is 'retour à domicile'.

These services should ordinarily be arranged by the hospital, and most are delivered promptly and to a high standard, but reports are not uncommon of patients being left to their own devices. Even where they may be organised, it is important to ensure that they are adapted to your needs. The position is often more complicated for expatriates who may not have an automatic right to certain services.