The runaway Bundesliga leader visits Old Trafford in the first leg on April 1 before the return at the Allianz Arena a week later.
Robben, who scored the winner in last season’s final victory over Borussia Dortmund at Wembley, was in a confident mood after learning of Bayern's next assignment.
“It is a great draw,” he told Sky Sports News. “I look forward to these matches. We play away from home in the first leg. That is an advantage.
“Manchester is not in the best shape. But it still is a very good team.”
Bayern skipper Philipp Lahm was more circumspect and insisted his club will not be fooled by United’s domestic struggles when it faces David Moyes’ side.
United is languishing in seventh place in the Premier League in what has been a difficult season but Lahm is still expecting a tough tie.
The Germany fullback said: “We should not be blinded by the standings in England. We have to perform well in both matches. Then we'll have a good chance to progress to the semifinals.
“We are the holders and we are the favorites in these kind of matches.”