The Spain international striker has long been linked with a return to the Vicente Calderon and Cerezo has now confirmed they are ready to make theri move.
“We have a great relationship with our former players,” Cerezo told Spanish radio station Cope.
“Diego is a great player, but a Chelsea player. We will try and do our best and see what Chelsea says, but it does not depend on us.”
Diego Costa joined Chelsea from Atletico Madrid in a £32million deal in 2014.