Ronaldo has also demanded a transfer away from the Spanish giants at the end of the season.
Ronaldo, who has previously made it clear he didn't want to extend his current deal which runs out in 2021, was believed to have wanted to quit the club last summer.
Aguirre adds that the 32-year-old former Manchester United star wants to leave on June 30 — and for a "reasonable price".
Ronaldo poured fuel on the fire after Real's Champions League defeat to Tottenham when claiming he didn't want a new contract. He was also criticised by captain Sergio Ramos for declaring the team had been weakened this season after so many senior player departures.