Stoke made it back-to-back home wins in the league with a 2-1 victory over Villa.
Hughes said: "He's not going anywhere in January."
Crouch was named man of the match, and Hughes added: "He obviously gives us a focus to our attacking play.
"I played that role for many years with my back to the goal, and it's a thankless task on occasions. Sometimes you have to take hits for the team. That's what Peter did today and has done for a long time.
"He's an accomplished football player. He's being playing at this level for a long time and you don't do that unless you're a very good player."
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