The French winger’s contract with the club expires in 2011.
“I can reassure the fans – no sum of money will make us think, not even for a second, of selling our player,” Rummenigge told the club’s official website.
“The board of directors are on the same wavelength – Franck Ribery is under contract with Bayern at least until 2011 and is not transferable.”
Ribery has been linked with Premier League giants Chelsea in recent weeks.