Rodwell played for Moyes at Everton.
"He can definitely do it," said Rodwell. "He's a top manager and Sir Alex Ferguson wouldn't have suggested him if he didn't think for one minute that he can do it. I'm sure he'll do fine.
"He's been loyal himself but I think it was the right time. I'm buzzing for him. It's a great job for him and I'm sure he'll do really well."