The 20-year-old has just returned from a long injury lay-off and is understood to be in preliminary negotiations over a contract extension. Wenger believes along with fellow England internationals Kieran Gibbs and Alex Oxlade-Chamberlain, Wilshere - who has been at the club since the age of nine - can become the heartbeat of the team.
"He has two-and-a-half years left - that's quite a long time. We have built a team [where] we have a lot of young English players, or British players like Gibbs, Chamberlain, Wilshere. We still have the case of [Theo] Walcott, Aaron Ramsey. You want them all on long-term contracts," Wenger said.
Last summer, then captain Robin van Persie did not agree a new contract, eventually signing for Manchester United in a £24 million deal. Walcott, meanwhile, has yet to commit himself past the end of the season, with Wenger revealing "unfortunately, I cannot give you any news" on the player's future at Arsenal's pre-match press conference ahead of Wednesday's trip to Everton.
Wenger, however, is confident when the time comes, Wilshere - touted as a future club captain - will sign on the dotted line. The Arsenal boss said: "Jack has always been very committed to this club and I hope he will show that. There is only one way to show it and that is to commit your long-term future to the club."
Arsenal are now benefiting from their home-grown recruitment policy, which Wenger feels will make a strong bond between the developing players and their club.
He added: "If the quality is local, it is of course even better because it gives you more guarantee of stability because the players who are English who play for Arsenal are more likely to stay for a longer term than foreign players, but we look first at quality, that is the most important."