The Bavarians' CEO wants to see the best players take to the field in a tie that the whole world will be watching
The 29-year-old picked up a muscular injury during his side's 3-0 quarter-final win over Borussia Dortmund and has not played since, most notably missing the Copa del Rey final Clasico win against Barcelona.
However, Rummenigge is hoping that the former Manchester United man lines up against his side to underline the tie's status as the best last-four clash of the two, with Chelsea set to take on Atletico Madrid in the other tie.
"I always want to ensure that the best players are on the pitch because the semi-finals are a great spectacle shown all over the world," he told TZ.
"The other game [Atletico Madrid-Chelsea] is also good but if Real Madrid play Bayern Munich, then it is the game the whole world will be watching.
"I always wish for the best players to be on the pitch, but whether Ronaldo will be fit, I cannot say now."