Rooney has been widely linked with a move away from Manchester United this summer, with Arsenal reported to be one of a number of clubs interested in his services.
"If it happens, it would be amazing. He is the type of player who can win you trophies - and just to see his name on the team sheet brings fear to the opposition. We could do with a little more of that," Wilshere told ESPN.
"You look at the type of players like [Gonzalo] Higuain we are trying to bring in and you have got to be encouraged. I think we need a few more, not to step right into the team, but to add to the squad."