The Argentina international has long been linked with a move to the Santiago Bernabeu side, but a transfer seems out of the question at this point.
"We are not thinking about making a move for Aguero at the moment," Perez told Onda Cero.
"Right now, there is no real urgency to sign any new players."
Aguero, 25, has a contract with City until the summer of 2017.
Perez then went on to stress that Madrid don't owe Tottenham Hotspur any extra money for the transfer of Gareth Bale following their Champions League win, while slamming those who criticised him for signing the Welshman.
"Tottenham are not entitled to any extra money because Bale won the Champions League with us.
"It's absurd that certain people who don't like me criticise me because I sign players like Bale. The same happened back in the days with [Zinedine] Zidane."
The Madrid president also had his say on the future of Iker Casillas and made it clear that the goalkeeper will stay at the Santiago Bernabeu side for the foreseeable future.
"Unless something really strange happens, Iker will stay at Madrid until the end of his contract."
The shot stopper's current deal runs until June 2017.