The 32-year-old started and got the Palace armband as they beat Swansea City 1-0 in the Carabao Cup Second Round.
But the central midfielder, who is going through some legal issues regarding a nightclub brawl, may not play that often given the side's midfield options.
"His state of mind was fine," Hodgson said to Sky Sports after the game.
"He's a good professional and I've no problem with that at all.
"He wants to play more and I've told him I can't guarantee that because it's in midfield that we are at our most competitive. But this performance improved his chance of playing.
"If he insists he wants to be playing week-in, week-out I can't guarantee that, but he's still a good player and was important in our victory."