Wilshere, 21, was the star of the show for England as they beat Brazil at Wembley on Wednesday night, the match marking his first start for his country since 2011 owing to a serious ankle injury.
If anything, Wilshere's stock rose during his absence, with many citing his creativity as the component England were missing at last summer's European Championships, and his performance against the South Americans suggested the hype was justified.
Wenger has never been one to get carried away, though, and while happy to laud Wilshere's progress for club and country, he this morning promised to make sure his talisman does not suffer from burnout.
"You do not want to set any limit on the development of any player, especially when he plays at that level at his age," Wenger said ahead of Saturday's game at Sunderland.
"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."