Arsene Wenger said he was "proud" of the clinical display that saw Arsenal beat Celta Vigo 2-0 and secure a place in the Champions League quarter-finals.
"We controlled the game. The way that we handled the game shows we have matured," he told BBC Sport.
"The fact we didn't concede a goal once we were 2-0 up was very professional.
"Psychologically we did the biggest part of the job at Celta Vigo. To score three away goals had a deep effect on their belief," added the Arsenal boss.
"It was important to start the game by scoring goals and then not to put ourselves in trouble by being steady defensively and we did that."
Despite Arsenal's fifth consecutive Champions League victory, Wenger played down his team's chances of progressing to the final.
"I wouldn't make us
super-favourites to win it as Real and Milan are in there.
"One of them has nine European Cups, one has six and we have zero. So, if you
look at their calibre, you become humble again.
"My team want to give it their best shot and go as far as we can - but we
don't know how far that will be.
"We're happy to be through so let's see the draw and how we get on in the
But Celta coach Raddy Antic said Arsenal could well come out on top among Europe's elite clubs.
one of the biggest favourites to win the Champions League this year," he said.
"They play with a lot of confidence and that's normal for a team in their
position in the league and Champions League. And they're a very balanced team, both physically and technically.
"We played the first 20 minutes with intent but suffered two injuries and
they were too much for us."