In 2015, Madrid came close to signing De Gea but the move collapsed late on.
But the Champions League winners have remained interested in the Spanish goalkeeper ever since and last week a £60million bid for De Gea was reportedly rejected by Manchester United.
However Perez has hailed the United keeper and remained coy over whether the 26-year-old could finally end up at the Bernabeu this summer.
"De Gea is a great goalkeeper who plays for United," he told Atresmedia.
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De Gea is a great goalkeeper who plays for United
Real Madrid president Florentino Perez
"I don't know where he will play next season because I'm not a fortune teller."
Meanwhile Spanish football expert Guillem Balague claims United boss Jose Mourinho is willing to let De Gea leave to sign Madrid's Alvaro Morata.
Balague said on Twitter: "Morata said last night his dream is to stay at Madrid…but he's looking for a way out.
Real Madrid president Florentino Perez was coy on David de Gea
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"Nothing from Milan at this point, MUFC want him.
"Mourinho (strangely) willing to sell De Gea for €25m and Morata.
"Chelsea divided between Lukaku & Morata. He would like to play in the PL."