The 22-year-old has emerged as one of Barca's primary transfer targets this summer following an exemplary season with Diego Simeone's title-winning side.
Koke himself admitted he was "proud" to hear of interest from Camp Nou, though he was keen to stress he is happy at the Vicente Calderon, and Cerezo has now made it clear that the club have no plans to sell the Spain international.
"He is our player and he will continue with us. They know that very well," he told Foro Nuevo Murcia.
"We are not a selling club. We are a stable club. And I insist: Koke wants to play for Atletico, he is our franchise player and will continue a Rojiblanco. There's nothing else to add."
Barca have also been linked with a move for central defender Miranda, who was another key performer in Atleti's march to the Spanish title and Champions League final, but Cerezo is confident both the Brazilian and centre-back partner Diego Godin will also stay.
"It's very hard today to find a defensive pairing like Miranda and Godin, almost impossible. I believe that, as with Koke, they will continue here," he said.
However, Cerezo did indicate that full-back Filipe Luis - who has been linked with Chelsea - could be allowed to move should he tell the club he wishes to leave and an offer is made which matches his release clause.
Atletico are reported to have agreed a €10 million [£8.1m] fee with Granada for Guilherme Siqueira, who spent last season on loan at Portuguese treble-winners Benfica, a player Cerezo admits he admires.
"If you have to leave and you want to go, I refer you to the clause," he added.
"Siqueira has been spoken about as a possible substitute. Siqueira is a good player. If someone goes we will try to bring in someone better."