Kuszczak's outing against Wolves was his sixth consecutive first-team appearance.
"I am still making some small mistakes, which I am not happy with," said Kuszczak.
"I try to be honest about my performances. Okay, I didn't concede any goals against Wolves but I made some mistakes which could have cost us a goal. Thankfully they didn't.
"I am enjoying playing regularly. Then you can do something with your performance. "Playing for Manchester United is fantastic. Even when I have had the hard times, when I did not play, that was always my ambition.
"I never started thinking the chance wouldn't come for me. Now it is my time to play regularly and I want to do it for a long time.
"I have to play well and keep clean sheets. I have to make as few mistakes as I can."