The former Hertha Berlin defender made the move yesterday.
Rekik said, "With Mikel Arteta, if you watch the games, he's not a coach who thinks quickly to play a long ball. Of course, when needed, you have to do it, but I think the style of play fits.
"As a young player, you need to play somewhere where they're not afraid to give you a chance and you can see a lot of youth players have broken through here, and I want to be the next one."
He added: "I just take things day by day. I'm here now and I have to work harder and show them what I can do and what I'm capable of. When I do this, my qualities will show on the pitch and then hopefully I can get a chance."