Despite his contribution to United's victory, Rooney was furious with their first-half performance and ripped into a number of team-mates, including Nani and Darren Fletcher, after they fell behind to Ronaldinho's third-minute strike.
"I was very frustrated in the first half with a lot of things," Rooney, who was booked for dissent before the interval, said. "Some people were not doing their jobs right and I let my feelings be known. We learnt from that and won the game, which I am delighted about.
"It was a bad start to the match for us, but after that we did well to get back in it. We fully deserved to win and overall I felt we were the better team. I'm disappointed to concede the second goal because I felt we were in control, but 3-2 in the San Siro is a great result."