"The choice of Rio for the Games has no affect at all on the agreement we have with the Madrid council," Cerezo told local television station Telemadrid.
"Everything is signed ... Atletico will be playing there inside three years."
Atletico are moving to the out-of-town La Peineta stadium that is being upgraded and expanded to a 73,000-seat arena.
Their current home, the Vicente Calderon, is to be pulled down and turned into a riverside park after the move.
Thank you for reading 5 articles this month* Join now for unlimited access
Enjoy your first month for just £1 / $1 / €1
*Read 5 free articles per month without a subscription
Join now for unlimited access
Try first month for just £1 / $1 / €1