However Ferguson was less complimentary about William Gallas, who was lucky to escape punishment for kicking Nani.
"I thought Gallas should have been sent off," said Ferguson. "The referee must have a look at that again.
"He kicked Nani from behind and the referee called both over because they sized each other up. He should've been red-carded."
United failed to get going against City on 10 February, in a game that came at the end of a week marking the 50th anniversary of the Munich air disaster.
It was disappointing but this team has given a lot. We were up for it before the game but United were better
Arsenal manager Arsene Wenger
But they went at Arsenal from the start and United's assistant coach Carlos Queiroz added: "Everyone was attacking and defending together and we played as a unit all of the time.
"It is easy when you play like that because the best players in the team are free to produce the special moments in the game, which we did here.
"Are we surprised by how Arsenal played? No. Arsenal should be surprised by our performance.
"We showed that when we are on top of our game that we are a strong team."
Arsenal manager Arsene Wenger admitted his side were outclassed at Old Trafford.
"It was an off-day for us," Wenger said. "We were beaten everywhere and never looked like coming back.
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