Ronaldo is said to be "upset" after being accused of tax fraud and wants to leave, a source close to the player told the BBC.
Madrid's state prosecutor has alleged Ronaldo used an off-shore company to hide a portion of his income from the tax office.
Perez first became Real president in 2000, seeing off incumbent Lorenzo Sanz by promising to lure winger Luis Figo from bitter rivals Barcelona, which he quickly delivered on by bringing the Portuguese worldwide to the Spanish capital for a then world record fee of 62 million euros. However, Perez insists that Ronaldo's anger is not aimed at the club but at the media.
A two-time La Liga victor, his 285 goals in 265 league appearances mean he is second only to Barcelona'sLionel Messi in that competition. "This is all very unusual, I will have to speak with him to see what's going on", he added.
Ronaldo is in Russian Federation competing for the European champions in the Confederations Cup. Talking but saying nothing.
"But something really freakish would have to happen if he were to leave this club".
The Chinese Super League could be another option, but Ronaldo would be well aware that a move there at this stage would prevent him from competing for top honours and hinder his chances of winning individual awards such as the Ballon d'Or.
They will have the final say. However, one thing that could kill the deal would be if it drags on for too long.
The paper added captain Sergio Ramos also reached out to Ronaldo, who has a club-record scored 406 goals in 394 matches for Real, pleading with him to stay.
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