Anichebe came on as a sub for the last 15 minutes and scored.
Moyes said: “Victor made a massive impact and I’m delighted for him. We kept him back longer than I really wanted to, because he is a handful coming off the bench.
“But after he’d suffered the broken hand we couldn’t be sure how he would go. He hasn’t trained much for the past week or so to avoid contact.
“But he wanted to be part of this and you could see that from the way he played. He transformed the game.”