The former Manchester City striker is a target for Barcelona, with Arsenal and Chelsea also keen.
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But Cerezo is adamant Atletico have no plans to sell Alvarez this summer.
"He is an Atlético Madrid player and he has a contract with us," said Cerezo. "He is worth a lot because he is with us - and he is not for sale."
Álvarez has scored 43 goals and 14 assists in a total of 96 competitive matches for the Spanish giants.
His contract with Atlético runs until the summer of 2030.
