The 19-year-old has already made 26 appearances in all competitions for Stuttgart, and the Turkish Under-21 international's performances have led to interest in his signature.
However, despite expressing a desire to join the Gunners, Ozcan has questioned whether he should move to the Emirates Stadium at this stage of his career.
Ozcan told beIN Turkey: "My agent and I are in talks with Arsenal. Arsenal have been scouting me for the past two years and send representatives to watch my games.
"I am not sure if now is the right time to join Arsenal, it may be a bit early for me. I want to prove myself here and keep developing first.
"Ultimately, Arsenal is the club I want to join in the future, god willing I will achieve my goal."
Despite his emergence in the first team, Ozcan has made just three outings in all competitions this season.