"To make my United debut in a Manchester derby was the biggest moment of my career so far," said Owen.
"But I was disappointed not to win. I was hoping we could obviously with his being my first game. I am sure there will be more wins in the future.
"It's great to have this opportunity to play with these players and for this fan support and for the coaching staff I am looking forward to the future."
On the game
"We expected a lot more going into the game. When you look at the flow of the game we were completely in control and could have easily been in front early," Owen added.
"The goal happened when we were in control and it was a bit of a shock.
"City did the job of defending relatively well but we still had enough chances to definitely win the game.
"We need to score goals. The most important thing is to have those chances. We have made them but not utilised them. We could have scored one or two and they are things we have got to work on.
"We are missing Ronny (Cristiano Ronaldo) and Wazza (Wayne Rooney) and they are key players. We are going to miss those players at any time but we still had enough on the pitch to win the game.
"We still had a great team out there and we were comfortable. It is a shame that we only have two points from three matches because in those games we have pretty much dominated possession and could easily have won all three.
"We need to understand that we have played relatively well. We've played all this attractive football but not won games.
"We will get there. But we need to win games. That is the most important thing."