Laliga side, Atletico Madrid, have turned down £78million (€85m) offer from Premier League club Manchester City for Gimenez.
The president of the Laliga club, Enrique Cerezo, confirmed in a statement while speaking to El Transistor.
“We did received the offer,” he told El Transistor.
“But Gimenez is a magnificent player abd we are interested in having magnificent players in the team.”
Gimenez, 25, who tested positive for coronavirus on Monday has been link with a move to Manchester City as reported by AS earlier this month.
Atletico finished in third place on the Laliga table last season and will begin the 2020-21 season at home to Granada on Sunday.