The 22-year-old is reportedly unsettled, and City manager Sven Goran Eriksson is lining up an approach for the striker in the current January transfer window.
But Rummenigge has explained that Jurgen Klinsmann is keen to have Podolski at his disposal when he succeeds Ottmar Hitzfeld in the summer.
"It is normal that some clubs are interested in our player," he told setanta.
"We are speaking of a Germany international. We have received an offer for Lukas but he will be there for the second half of the Bundesliga season.
"Our next manager Jurgen Klinsmann has communicated to us a list of the players that are going to be part of his project, and Podolski's name is included.
"Podolski has been underrated (reports suggest he is available for £12 million), he is worth much more money. Manchester City are one of the clubs interested but for us this file is closed."