"I am quite satisfied. Manchester United has one of the best teams in the world. We scored an away goal which is important, but we also got lucky that efforts from Danny Welbeck and Wayne Rooney did not go in. The goal we conceded was difficult to defend," BBC Sport quotes the manager as saying.
"It is always dangerous when you go into the second leg with a 1-1 draw, but even a 2-1 victory would have been dangerous. We will try to win the second leg and I am sure we can do it.
"I have full confidence in my players and hope the fans in Munich will push us like the United supporters did for their team today."
Bayern have reached the final in three of the last four seasons.