The France international has long been linked with a possible transfer to Old Trafford and a report in England this week claimed talks with the player have reached an advanced stage.
United are said to be willing to meet Griezmann's €100million release clause and head coach Diego Simeone has stated he will not force any player into staying with Atletico.
But Cerezo claims he is unsure of any prospective offer from Jose Mourinho's side and is adamant Griezmann will not be sold.
"I don't know what the interest from Manchester [United] will be," he told television show Minuto #0.
"I can say that Griezmann will be an Atletico player for a long time."