It would be a transfer that would shatter Real Madrid's own record and eclipse the €127m paid to Borussia Dortmund for Jude Bellingham in 2023.
The Real Madrid president and election candidate made the announcement on the Horizonte programme on Cuatro, hosted by Iker Jiménez, in a deliberate escalation of the campaign's final days before Sunday's presidential vote.
"On Tuesday I am going to make an important offer to a Champions League club for a great player who would be the greatest amount of money Real Madrid would pay for a transfer in our entire history. It would be around €150m at least."
He then narrowed the field of candidates — ruling out several of the most obvious names — while insisting the signing would generate genuine excitement among supporters.
"It is not (Erling) Haaland. And it is not from the Premier League. What is right is that the player is from midfield upward. (Michael) Olise is a great player, but it is not Olise. Neither is it (Jeremy) Doku. We are going to make an important offer — around €150m at minimum.
"The first thing we will do is talk to the club. It is a signing to generate excitement, because that is what this is about."
Pérez described the player's calibre as equivalent to Cristiano Ronaldo or Kaká — Galáctico-level signings that redefined what was possible in the transfer market at their respective moments.
The announcement came alongside his confirmation of the Denzel Dumfries deal from Inter Milan — a €25m signing that he called settled and complete — and pointed to the broader rebuild he intends to oversee with head coach José Mourinho, whose appointment he confirmed would be announced imminently.
"Mourinho means that he is going to come to Real Madrid next season. It excites me because we know him — he showed us extraordinary competitiveness and after he left we won six Champions Leagues as a result of that competitiveness. He is motivated to win the Champions League again."
On the Tchouaméni-Valverde training-ground altercation, Pérez framed it as a symptom of disloyalty rather than the incident itself.
"It is foolish to say two players had a fight — that is normal. What is not normal is that someone inside the club with bad intentions leaks it. Everything that happens at Madrid has huge significance. I had been noticing a conspiracy between certain media and certain individuals to destabilise the club. I could not allow that to continue — which is why I called elections."
He returned to his ongoing dispute with rival candidate Enrique Riquelme over the club's finances and direction, insisting the suggestion Madrid needs to sell equity to survive is a fabrication.
"If the other candidacy says we are indebted and we are the most valuable club in the world, how are the other Spanish clubs doing? The credit for the stadium carries an interest below 3% and the stadium pays for itself annually from its own income."
He closed with a pointed reminder of his own record.
"When I arrived in 2000 the players were not even being paid. Now, for the fifth consecutive year, no club in the world is worth more than Madrid. Nobody has won more European Cups than me — 66 titles in total."