The club's chief admitted Atleti is under no pressure to sell the forward to raise funds while he also denied that city rival Real made a proposition to the striker on a napkin.
With Real Madrid and Chelsea reportedly interested in the forward, Cerezo has claimed the club does not need to sell its star player as the team's financial situation is stable.
"I have 60 million and the truth is that they are very well where they are. I do not know if Madrid have the money, but I know my accounts," he said at the Atletico Madrid rugby team presentation.
Real Madrid president Florentino Perez joked that he had passed Falcao a napkin with an offer of moving to the Santiago Bernabeu at a recent awards ceremony in a similar style as to when he proposed Zinedine Zidane's move to the Spanish capital from Juventus in 2000. But Cerezo denied that the incident had taken place and was confused as to why Perez would make up such a story.
"I saw no napkin. Furthermore, there were not paper napkins, but cloth," he said. "I do not know what he is talking about. The napkins are worth what they are worth."