Manchester United are reportedly interested in landing Bale but it appears they will have to fend off bids from Europe's elite clubs to get their man this summer.
Bale arrived at the Bernanbeu from Tottenham two summers ago after agreeing his £86million record transfer.
He went on to score the winner for Madrid in the Champions League final last May but has suffered poor form recently - having not scored or provided an assist in eight games.
And while Perez conceded clubs are after the Wales international, he insisted he will stand by the player.
"Gareth Bale is one of the best players in the world," Perez said.
"The biggest clubs fought and continue to fight to secure his services.
"The only thing I can say is that we shouldn't forget what he was able to achieve in his first year at Real Madrid."
GETTY
Gareth Bale (left) has been booed in recent appearances for Real Madrid
Perez had called a surprise press conference to confirm he fully supports the team and manager Carlo Ancelotti, who has come under fierce criticism recently.
Real are winless in three games - having drawn with Villarreal and lost to Athletic Bilabo in the Liga recently, while they edged into the Champions League quarter-finals despite losing 4-3 at home to Schalke this midweek.
He said: "I want to state categorically that the club has full confidence in our coach and in our players.
"And I want to say, contrary to a report published today, that whatever happens in the coming days and weeks Carlo Ancelotti will remain the coach of Real Madrid.
"We have the best coach and the best players that Real Madrid could have.
"As president of Real Madrid, I appeal to our fans to support our coach and our players and ask that they feel proud of them for all they have given us and for all they will continue to give us."
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