The incendiary remark was made when Perez was asked if Barcelona could sign Robert Lewandowski, with the Real Madrid president using this as an opportunity to take a dig at LaLiga.
"That I don't know, in LaLiga they must be Barcelona's sporting directors, sometimes they say they can't sign, other times they say yes, let Barcelona do what they think is right, but don't condition them," Perez told the press.
Perez also addressed the recent complaints filed by LaLiga against Paris Saint-Germain and Manchester City.
"Tebas certainly doesn't support Real Madrid, I don't feel supported by Tebas, I feel wronged, we also have a lawsuit for a LaLiga agreement that, in our opinion, is illegal," Perez said.
"It is illegal for sure. It breaches a decree-law, which states that we cede the TV rights to LaLiga for their commercialisation, on a competitive basis and for three years. And that is not the case".
Perez also commented on Laporta and the fact that he is not giving in to CVC.
"Barcelona are a serious club, and they have denounced a legality and they are unlikely to enter afterwards, it would be absurd," Perez stated.
His words were then answered by LaLiga on Wednesday morning in the form of a press release, in which they assured that they have never put pressure on the Barcelona president at any time or in any way.
LaLiga's statement in response to Florentino Perez
"In view of the statements made by the president of Real Madrid, Florentino Perez, last night on the television programme El Chiringuito, LaLiga would like to clarify:
"LaLiga has not at any time or in any way pressured the president of Barcelona, Joan Laporta, with the intention of getting him to join LaLiga Impulso.
"At all times what has been done is to respond to the different requests for information requested by Barcelona from both LaLiga and CVC, always in response to a previously expressed interest from the club.
"As has already been explained on numerous occasions, the agreement with CVC to develop LaLiga Impulso has had the legal advice of important international firms such as Uria Menendez and Latham & Watkins from the outset, which means that it has had absolute legal solvency since its conception.
"This agreement was put to a vote, as could not be otherwise, following the democratic channels established in the different governance bodies of LaLiga.
"The majority of the clubs that make up LaLiga, 38 of the 42, decided to join after analysing the agreement individually and autonomously, supported by their respective legal advisors.
"Finally, we regret that, once again, Florentino Perez questions the decision-making capacity and autonomy of the other presidents and managers of the LaLiga clubs."