Speaking to the club's official website from their training camp in Marbella, Carrick lauded the efforts of the 26-year-old, and backed him to keep getting better and better.
"Yeah, I think he's done great," Carrick said. "It's not always easy, I think history tells you that.
"When you look through the pages of this club when new signings have come in, sometimes it takes a little time to adapt, you know that, and it doesn't mean they're not good players or they don't have real good quality in their play.
"I think it's just what playing for this club brings and playing in the league. The Premier League is so different to other leagues, so, sometimes, it takes time to get used to it, but credit to Fred. He's stuck at it, he's learnt and he's been willing to put the work in and try to improve.
"He's been fantastic for quite some time now and I'm sure there's more to come, because he's that kind of boy. He wants to keep improving, he wants to keep learning, keep getting better and there's plenty more to improve, of course, like any player, so we'll keep working at it."