Arsenal broke its transfer record to seal a deal for the 24-year-old, and the midfielder has revealed a talk with Arsene Wenger helped to sway his decision.
Ozil completed a 50 million euro move to the Gunners on Monday to become the club's record transfer signing and the second largest in England history, with only Fernando Torres' move from Liverpool to Chelsea costing more.
Ozil has confirmed he had intended to stay at Real Madrid as recently as the weekend, but he felt that the lack of faith shown in him by the Spanish power proved it was the right time to leave and join the Gunners.
"At the weekend, I was certain that I would stay at Real Madrid, but afterwards I realized that I did not have the faith from the coach or the bosses," Ozil told the German soccer federation's website. "I am a player who needs this faith and that is what I have felt from Arsenal, which is why I have joined.
"I am really looking forward to it, because I have the faith of the coach. I had spoken to him at length on the telephone, he explained his plans and that he has faith in me - that is what I need as a player.
"I am looking forward to the new challenge there. I have already heard that they have super fans, the city is great and the team is fantastic."
Ozil also believes Arsene Wenger can take his game to another level and is relishing playing in the Premier League.
"Wenger gives me the faith and I can develop further," Ozil said. "I know what I can do and I know that I could make the grade with any club in the world, because I am so convinced in myself, but if I don't feel people have faith in me, then that is why I had to leave and at Arsenal, I feel I have this fully.
"I am sure the new coach is going to develop me further and I am also really looking forward to playing in the Premier League."