Chelsea have reportedly made a bid for the England international, who has under a year left on his contract at the Emirates Stadium.
Wenger would not be drawn on speculation Oxlade-Chamberlain has told him he will not be renewing his deal ahead of a meeting between the pair and chief executive Ivan Gazidis.
But the Frenchman remains hopeful of retaining the 24-year-old, who Wenger insists is vital to his future plans.
“I want Alex to stay at the club and be one of the big players of the future of the club, he’s one of the players the team has to be built around in future,” Wenger said ahead of Sunday’s trip to Liverpool.
“I want him to commit to the club and be one of the carriers of this team.
“I know of every bid we have, of course, but I think it’s best to focus on Sunday’s game.
“We invested a lot of time and money and confidence in players like Chamberlain and for me he has a responsibility to the club.
“I want to keep my best players – my only target is to keep everyone on board. I hope he commits.”