The Rojiblancos supremo regards the Colombia international as one of the top five players in the world, but has refused to rule out offloading the prolific striker
The Colombia international only joined the Rojiblancos last summer from Porto and has enjoyed a fantastic debut campaign at the Vicente Calderon, the highlight of which was his double in last week's Europa League final win over Athletic Bilbao.
Falcao's fine form has reportedly attracted the interest of Europe's elite, with Chelsea said to be considering offering Fernando Torres in exchange for their current top scorer, but while Cerezo admits every player has his price, he points out that rumours are often the work of mischievous agents.
"There are always snakes in summer and by August will see thousands who will be talking all the time like this," the Rojiblancos supremo told Caracol Radio.
"Falcao is under contract for four more years with Atletico Madrid, and at this time [of year] there are always offers.
"Football in Europe moves very quickly, so if there are bids, they will be studied; if not, then nothing."
Cerezo moved to reassure Atletico fans by adding that the club are hoping to hang on to a forward that he holds in the highest esteem.
"Unquestionably, we must recognize that [Barcelona's] Lionel Messi is one of the best players in the world, if not number one, but that does not mean that Falcao is within the top five," he argued.
Atletico paid Porto a reported €40 million for Falcao, who has subsequently hit 36 goals in 50 games for the side from the Spanish capital.