The 31-year-old Republic of Ireland midfielder was the subject of a bid from Villa, driven by former Canaries boss Paul Lambert.
Norwich’s board rejected the offer outright and have since refused to countenance the idea of Hoolahan leaving Carrow Road in the January transfer window.
Now Hughton has confirmed he wants to keep the seven-cap midfielder and is instead focused on bringing in reinforcements rather than seeing players leave.
When asked if Hoolahan could be sold this month, Hughton said: “At the moment our concentration is on can we add to the squad, can we improve the squad, not on letting players go out.
“We’ve had a few injuries especially in midfield, and then Michael Turner will be out for a while as well.
“We are trying as hard as we can (to sign players) the same as everybody else, but January is a notoriously bad time to bring in players.
“But they also have to be right for the club.”
Stoke could face a battle to keep Xherdan Shaqiri as reports have claimed Mark Hughes wants him at Southampton next season.
Bayern Munich have entered the race to Emre Can, who continues to talk up a move away from Liverpool this summer.