Mbappe and Hakimi both returned to training shortly after their World Cup exploits with France and Morocco respectively, before playing the full 90 minutes in PSG's surprise 3-1 defeat against Lens in Ligue 1 last Sunday.
Galtier has since revealed that the pair "will have a few days' rest" and will not be involved against Chateauroux, but star attackers Lionel Messi and Neymar could be welcomed back to the first-team fold.
Messi returned to training on Wednesday and received a guard of honour from his teammates and members of staff following his World Cup success with Argentina.
The 35-year-old could be in contention to feature on Friday, although a starting role is unlikely for the attacker, and the same applies for Neymar who is available after serving a one-match ban against Lens.
PSG will be without midfielder Marco Verratti, however, due to suspension, while Presnel Kimpembe and Nuno Mendes remain sidelined with respective Achilles and thigh injuries.
Renato Sanches has missed the last two matches against Strasbourg and Lens after sustaining a bruise and the midfielder remains doubtful for Friday's contest.
Galtier is expected to tinker with his starting lineup and the PSG boss may choose to delve into the club's academy, with teenage trio Warren Zaire-Emery, El Chadaille Bitshiabu and Ismael Gharbi all pushing for a starting berth.
PSG possible starting lineup: Rico; Mukiele, Marquinhos, Bitshiabu, Bernat; Zaire-Emery; Vitinha, Gharbi; Soler; Sarabia, Ekitike
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