He said: "Winning the Champions League would be a great achievement, unbelievable. It is a very difficult trophy to win but we are the only unbeaten team in the competition.
"That record speaks for itself and we have played some great football in Europe this season. Some people said we did not express ourselves enough against Barcelona but we knew we had a job to do and we got to the final.
"We want to go there and win it as well as the league. I feel we can do it."
Rooney paid tribute to Ryan Giggs and cited the Welsh winger as a shining example to all young players.
Cristiano Ronaldo had made the breakthrough from the penalty spot to take his tally for the season to a remarkable 41.
Rooney said: "It's an unbelievable achievement by Giggsy and a perfect moment for him to score.
"I don't think anyone will ever win 10 titles like he has done. He deserves it. Today, more players move around clubs but Giggsy has shown his commitment and loyalty to Manchester United. He is a great example for all young players."
Rooney, who has weighed in with 18 goals this season, was delighted with the way United retained their title.
He had missed the previous two games with a hip problem and said: "To win it on the last day makes it even better.
"We did the job at Wigan and deserved a victory. It is a brilliant feeling."