Goal understands that the transfer has been completed, with the Germany international signing a deal worth €150,000-a-week that will run until 2018.
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"We talk about Mesut Ozil, we'll see, this is a world-class player, a technical player who can adapt to Arsenal," the centre-back told reporters ahead of France's upcoming World Cup qualifiers against Georgia and Belarus.
"The coach has been criticised by fans. We know that the club have money for transfers but then there's the desire of players to come to Arsenal or not.
"Clubs discuss them and make decisions. It is difficult in the transactions but I have confidence in this group, we'll see if new players arrive."
Ozil has collected 47 caps for the Germany national team and, in his three years at Real Madrid, scored or assisted 108 goals in 157 appearances in all competitions.