The Gunners are set to be busy in the summer transfer window, with the confirmation of the free transfer of France Under-21 attacker Yaya Sanogo set to be shortly confirmed now his contract with Auxerre has expired.
Additional funds of more than £75million are understood to be available for manager Arsene Wenger as he aims to pull together a squad capable of mounting a long overdue sustained assault on the championship.
Wilshere, though, would welcome his fellow England international into the Emirates Stadium dressing room.
Speaking in a question and answer session with www.espnfc.com, Wilshere said: "If it happens, it would be amazing. He (Rooney) is the type of player who can win you trophies - and just to see his name on the teamsheet brings fear to the opposition. We could do with a little more of that."
Arsenal have also been linked with Real Madrid's £25million-rated forward Gonzalo Higuain and also Everton midfielder Marouane Fellaini, who would, like Rooney, both command significant wages.
Wilshere, 21, believes the calibre of players now likely to be brought in by Arsenal shows they mean business on the pitch.
He added: "You look at the type of players like 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.
"We need our squad to be as deep as United's and (Manchester) City's. They can change their back four completely and still win. There is no way United would have won the Premier League trophy with 18 players."
- Sports & Recreation
- Manchester United
- Arsene Wenger
- Yaya Sanogo