The Spaniard left Goodison Park for the Gunners on transfer deadline day, and has enjoyed a good start to life in north London with the two sides set to meet on Saturday
The midfielder left Goodison Park for the Gunners on transfer deadline day in the summer for £10 million, having spent six-and-a-half seasons with the Merseyside club.
The manager – who signed Arteta from Real Sociedad in January 2005 – admitted the north London club’s style suits the Spaniard.
“I've watched from the television, I've not seen him play live,” the Toffees manager admitted to Sky Sports News.
“But from what I have seen Mikel has played well. He played great for us and it looks as if he's giving a good contribution at Arsenal.
“I think the style suits Mikel. He's on the ball plenty of times, getting lots of touches and he's having an influence on the game.
“From that point of view, he'll be revelling in the job he's got and what he's doing at Arsenal.”
Everton currently sit 10th in the Premier League table after 13 matches having lost 1-0 at home to Stoke City last weekend.The Toffees have lacked goals this season, and Moyes has backed midfielder Tim Cahill to find the back of the net soon, despite the Australian's goalless streak stretching back to the end of last year.
Moyes confessed: “We all need a goal, not just Tim. It wouldn't matter if Tim scored or not. I think the team needed a goal certainly last week
“Tim's not just a goalscorer, he's an all-round player. We ask him to do other things, sometimes it's different roles, roles for the team.
“But recently he's played up front for us so we'll give him the chance to try and score those goals.”