Wenger reckons there is no limit to how far Wilshere, 21, can go in his career.
Wenger said: "You do not want to set any limit on the development of any player, especially when he plays at that level at his age.
"The most important thing for me will be to keep his passion for the game, and keep the attitude of wanting to become a better player.
"If he keeps these two ingredients that are not always easy, he can of course become a fantastic player.
"He is already one, but he can become one of the best in the world, yes."