Owen scored the first goal of United's pre-season tour of America in the 4-1 victory over New England Revolution.
And he is sure that, given the chance, he can play a big part in the club retaining the Premier League title next season.
Owen said: "I always have high hopes and go into the new season with optimism.
"The club took the option to extend my contract and that fills you with confidence because it makes you feel part of the team.
"You feel wanted by the manager and, when he told me towards the end of the season that he wanted me to stay, I was delighted. The manager obviously saw something that made him want to keep me and he says I will be involved a lot more this year, so I am hoping that's the case.
"I want to play a bit more and be successful - and it's important to me to do that. It's easy to be confident when you know you can do it and I've done it thousands of times before.
"Some people may have short memories but I haven't. I know what I'm capable of and everyone at the club does too.
"We have some top players, it isn't easy playing every week when you have so many top players. But I'm relaxed about it and confident of doing well."