Rooney, who signed a new five-and-a-half-year contract earlier this week, tasted glory in the competition with United in 2008, before finishing on the losing side in the final against Barcelona in 2009 and 2011.
United have not looked like potential European champions this season, falling 15 points off the pace in the Premier League and crashing out of both domestic cup competitions, but Rooney says that their objectives remain the same.
"You always want to win it," he said on Monday, on the eve of the first leg of United's last 16 tie away to Greek champions Olympiakos in Piraeus.
"The feeling you get when you actually win the trophy is incredible, so there's no way you want to stop at one. You want to win every year. Obviously that's impossible, but if we can go to the final, it'd be great for us. It's an opportunity to win another trophy, so hopefully we can do that."
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Barcelona and defending champions Bayern Munich have already produced shows of strength in the tournament with 2-0 first-leg wins over Manchester City and Arsenal in their respective last 16 ties.
"They've been brilliant (games) to watch," he told a press conference. You see Barcelona against Manchester City. Barcelona were incredible and keep the ball really well.
"Then you watch Bayern Munich and it's almost the perfect performance at Arsenal. I know both teams (City and Arsenal) were down to 10 men, but the way they keep the ball and open teams up is great to watch.
"We have to try to do that, try and keep the ball, be patient and break teams down. A lot of the teams we're playing are sitting back with all the team, so it's down to us to move the ball quickly and break them down.