United won the match 3-0, after two goals by Dimitar Berbatov and one by Wayne Rooney.
Strachan said: “We’ve played a lot of good teams in the Champions League like AC Milan and Barcelona.
“But nobody as good as Manchester United were tonight. It will take some team to stop them from winning this again.
“They could defend this for the next couple of years.
“Wayne Rooney is simply unplayable. We tried to do everything to stop him.
“But when you are facing someone like that you just have to hold your hands up and say tonight we have come up against a world class player.”
He added: “I’m not going to scream about that because I know we were well beaten.
“That was one of the best performances I’ve come across watching European football.”
