Rummenigge believes the move will be beneficial for Muller's post-playing career prospects.
"He's gaining new experiences in North America, broadening his horizons, perfecting another language, and getting to know a new culture," Rummenigge said. "He could prepare himself there to some extent for a possible job afterward."
The former CEO also noted the club's tradition of bringing back former stars, stating: "It is the wish of the fans and the club that former players take on a leadership role at Bayern Munich."
However, he issued a note of caution, adding: "He has played football at the highest level, which would undoubtedly help him. And he knows the club very well. But it is also clear: a board or managerial position is a completely different job than the one on the pitch."