But Wenger insisted the 24-year-old's move was designed to ensure he will get adequate playing time this season so he could regain his competitive edge.
"He is a world-class player, he doesn't have to show me his quality," the Frenchman told a news conference on Friday.
"I hope personally that he stays his whole career here."
Wenger also revealed that the decision for Wilshere to go out on loan was one he took after consultations with the player.
"We had a chat together. He felt ready to play," the manager added.
"I couldn't guarantee that and it looked logical to give him time -- the challenge is to play the games."
Arsenal will be looking for their second Premier League win of the season when they play Southampton on Saturday while Wilshere is expected to make his debut for Bournemouth who are hosting West Bromwich Albion.
(Reporting by Simon Jennings in Bengaluru, editing by Ed Osmond)
