The Frenchman has questioned if the 24-year-old had the determination to win a regular starting berth at the Santiago Bernabeu following the recruitment of similar playersReal Madrid assistant coach Zinedine Zidane has suggested that Mesut Ozil left the club because he lacked the "strength and will" to fight for his place in the team.
The Germany international was unveiled at Arsenal on Thursday, following his €47 million (£42m) move on deadline day.
| ARSENAL LATEST
|12/1||Arsenal are 12/1 with William Hill to win the title
"Ozil decided to leave," he told the club's official channel. "He is a good player who has given us so much so we wish him well.
"There are players who have responded with strength and will to fight for a place, but not everyone reacted the same.
"[Angel] Di Maria responded well and wanted to fight."
The Blancos travel to newly-promoted Villarreal in the Primera Liga on Saturday where €100 million (£85m) recruit Bale could be handed his debut.