Perez has claimed that the 12 European Super League teams "signed a binding contract," despite Premier League clubs and other sides withdrawing their support.
Both Paris Saint-Germain superstar Mbappe and Borussia Dortmund striker Haaland have attracted interest from Europe's top clubs.
However, Perez believes that the absence of The Super League would stop Madrid from signing a world-class star like Mbappe, who has been linked with Los Blancos in recent seasons.
The Super League chairman told El Larguero: "In general, there will not be big transfers this summer.
"When money does not flow from the rich clubs to the poor clubs, everyone suffers.
"It's impossible to make signings like Mbappe and Haaland, in general, not just for Real Madrid, without the Super League.
"If we don't sign Mbappe this summer, I don't think any fan will shoot himself in the head.
"They know we're doing our best, and if things don't happen, it's because they're impossible."
Perez was keen to stress the money situation as he hinted that Madrid captain Sergio Ramos could leave the club in the summer.
Ramos, 35, is out of contract at the end of the season and Perez admitted that the Madrid star was "like a son" to him.
However, Perez revealed that Madrid are "bringing in €300m less" in 2021 amid the coronavirus pandemic and they "need to sell a player, do things."
The Madrid president explained: "It depends on Real Madrid's situation.
"This year we're bringing in €300m less. We need to sell a player, do things.
"I've done what I can up to now and I haven't done it badly. Despite a few people saying I don't know about football.
"I know what it's like to come into a club in 2000 where people hadn't been paid. I put up everything I could and changed the world with the Galacticos and went from losing €30 or 40m a year to bringing that in."
Featured Image Credit: PA
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