Gareth Bale's days with Madrid are reportedly numbered but Zidane again refused to be drawn on the Wales forward future as Karim Benzema's hamstring injury presented him with a probable opportunity to impress at Rayo Vallecano on Sunday.
Zidane said: "I don't even call the shots in my own house".
It is clear that this Real Madrid squad will be broken up this summer, but it is unclear how much money they have to spend on new players and where they want to strengthen.
Will I have plenty of power to decide on transfers and signings? No. People told me that I wasn't compatible with [fellow World Cup victor, Yuri] Djorkaeff. "In the end we will see what happens, but I am not to say what Gareth should do".
Manchester United do not want to sell but it has been claimed that the midfielder is trying to push the club to let him leave at the end of the current campaign.
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'I would like to play with Hazard.
"If I was asked the question, I'd want to go elsewhere and get more minutes".
Zidane also suggested players who know they will not feature regularly next season would be better served leaving the club.
The Chelsea superstar looks increasingly likely to leave Stamford Bridge at the end of the season, following seven years in a Blues shirt.
According to a report from Italian outlet CalcioMercato, Real Madrid will be asking for €100 million before they consider selling the France global and reigning World Cup champions.
"All good players are compatible", he said, going on to refer to Youri Djorkaeff, a team-mate when France won the 1998 World Cup and Euro 2000.