The Frenchman has stressed that the England international is unlikely to be in the right condition to compete for Stuart Pearce's Team Great Britain side, despite the Olympics coach claiming that it will be his decision whether to include Wilshere.
"At the moment Jack has a different worry," said Wenger. "His focus is to get back on the football pitch and play, there is not one specific target like the Olympics or the European Championships, although he is out of that.
"His main priority is to get out on the pitch and play football. Nothing is definitely set at the moment, because we are in a slow progress world where we go step by step.
"If we start pre-season at the beginning of July and he is completely fit to join in normal training, then we will see [about the Olympics], but let's not forget he has not played for a whole year. To be competitive at the top level it will take him some time to come back and we have to give him that time."
Wilshere has not played at all this season after picking up an ankle injury before the Gunners' Premier League campaign.