PSG made the claims earlier this week as Ancelotti pushed to be released from his contract.
"We have no pre-contract signed with any managerial candidate. It's something we'll have to look into in the coming days," said Perez.
"This is a club that's open to the world and we don't place limits on anything. We want whoever it is to be someone who will help us to continue to improve because we now have a solid economic and institutional stability and a sporting level that we must never lose."
About the possible arrival of Ancelotti, Perez said: "We have the utmost respect for PSG. A few days ago the general manager went to talk with the PSG president to discuss the possibility of signing Ancelotti because we thought his contract was coming to an end. But since it's not an issue that we're going to solve tomorrow, we'll think about a manager later. There are several options."