"I hope we get Chelsea," Rooney told MUTV. "Personally, I'd like to play them at home and try to knock them out. After that we'll be through to the semi final and I'm sure we can take things from there."
Rooney has twice been on the losing side in an FA Cup final and is determined to add a winners medal to his collection this season.
"The FA Cup means a lot to me. I've been excited by the competition from a very young age and hopefully we can now go all the way."
United swept Arsenal aside on Saturday afternoon even though the Reds began the match missing experienced players.
"Last season we had to play all the players in every game," Rooney said. "Today we had Paul Scholes on the bench and Ryan Giggs got a rest all together. That keeps them fresh and could be key come the end of the season.
"We were very disappointed after last week's performance against Manchester City. Training was difficult this week and we spent a lot of time talking about the tactics and how we were going to approach the game against Arsenal. I think we got it spot on."