Moyes gave Rooney his first team debut at Everton.
Asked about his reunion with Moyes, he said: "He’s a great manager and thoroughly deserves this job, because of what he did at Everton.
"It’s good to work under him and hopefully we’ll be successful together.
"I feel great. The training is a bit different under the new manager. I remember it from Everton, it’s more intense. But that’s helping me. I feel good and am glad to be out playing.
"I’ve put my head down and worked hard and tried to do everything right. I’ve tried to show the right attitude.
"That’s paying off for me on the pitch. I feel fit and ready to do well."