"He's a very shy boy and maybe his personality is getting stronger to play for us every week. Today was an example of that maturity," said the Scot.
Ferguson believes his side's ability on the break proved crucial in exposing Arsenal's weaknesses.
Park Ji-Sung and Wayne Rooney both scored from slick passing raids that caught the Gunners short in defence.
"Counter-attack has always been a part of our game," stated Ferguson.
"Arsenal play a lot of good football and get to the edge of the box regularly, so if you can get the ball you've got a chance against them."
Nani's pace tormented Arsenal left-back Gael Clichy
Rooney's strike took his tally to seven from United's last five matches and it also means he has scored 100 Premier League goals - only the 18th player to do so.
The England international is five goals clear at the top of the Premier League scoring charts, having already amassed more than last season's top scorer Nicolas Anelka managed in the whole of that campaign.
"Rooney was the key player in the sense they just couldn't handle him," added Ferguson.
"Everything was played towards him, in front of him or behind them and he was on to it every time."
Arsenal manager Arsene Wenger preferred to focus on his own side's shortcomings.
The Gunners were unbeaten in their 10 previous league games but Sunday's result leaves them five points off leaders Chelsea, having played a game more.
"We gave them too much room. We were naive. It is difficult to say straight after the game why we were not at our level," said Wenger.
"It is too early to analyse but I believe there are some mental reasons.
"It is a massive blow and a massive disappointment. The players wanted to win, they are really down. We have to recover from that. That is part of top-level football."
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