Wenger has dropped the biggest hint yet that he is ready to make a move for the 27-year-old.
"Rooney could be an interesting player for everybody in the world, who would turn him down?" Wenger told Al Jazeera.
"David Moyes' first challenge is to go in to Manchester and bridge the gap between him and Rooney.
"If that is feasible or not depends on his personality and if Rooney bears a grudge or not, we will see. It will be interesting to see how that will be handled."