Ake was carried off on a stretcher just before halftime of the Oranje's 2-2 draw against Nations League rivals Germany.
Holland coach Ronald Koeman later stated: "It looks like a muscle injury for Nathan, though I am not certain."
It's been suggested the setback is a hamstring injury for Ake.
The defender made his first Premier League appearance of the season for City as a substitute in victory over West Ham.