United had to come from behind to defeat Milan 3-2 on Tuesday night.
"We are playing well at the moment and scoring a lot of goals," said the England midfielder, who will miss the second leg against Milan in three weeks after being sent off in injury time for his second yellow card.
"Even after the bad start (Ronaldinho's early goal) we were still confident that we could get a grip of the game and control a lot of the play. We played some good stuff in the second half and could have scored more.
"We were the ones looking more likely to increase our lead towards the end. It didn't quite work out like that but we were reasonably pleased with the way it turned out."
Instead of United adding to their tally, it was AC Milan who struck late on.
The Italians are clinging to the hope that Clarence Seedorf's late effort can set the scene for a memorable comeback at Old Trafford.
Yet that would require a piece of history, given United have never lost by two goals at home in a European game and only twice were beaten by the 3-2 scoreline that would take the tie into extra-time.
"You would probably say we are favourites to go through but we know how important the start of the next game is," said Carrick. "If we can get the next goal we will be in a great position but as things stand at the moment it's still in the balance.
"We have got to make sure we perform again at Old Trafford."