The position of manager Rafa Benitez is in peril following Saturday's 4-0 defeat at home to arch-rivals Barcelona in La Liga.
Other reports suggest Perez could use the press conference to double-down on his own unpopular tenure on the club and call a snap election.
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Real are six points off Barcelona in La Liga, and are away to Shakhtar Donetsk in the Champions League on Wednesday.
