The international organization announced that they would back the France winger should he opt to join Real Madrid in the current transfer window.
Spanish giants Real have made a hefty offer to land Ribery this summer, but loud and clear was the Bavarians' refusal to offload their star.
Rummenigge assured he would take a legal action against FIFPro if the 26-year-old relied on their support and insisted to leave.
Madness
"By releasing an official notice, FIFPro are inviting players to break their contracts, and this is simply madness," he told TZ.
"What football needs now is stability and not players breaking their commitments. We will examine our legal possibilities and we will ask, if the time comes, for indemnification.
"Everything has a limit and with the stance FIFPro has taken, they have gone overboard.
"I know clearly what needs to be done. As the president of the European Club Association, I must say that FIFPro have exceeded their limits.
"We will give our response as these are things that we do not like."
Former Marseille man Ribery still has two years left on his contract with Bundesliga outfit Bayern.
Injured
Rummenigge refuted reports claiming that Ribery has been at loggerheads with Bayern's board as a result of their decision to keep hold of him.
"I must make one thing very clear. Franck is currently injured. He is not faking the injury nor is he a problematic player," he stated.
"We are against this (FIFPro) opinion, which is something that does not correspond to Ribery's character.
"He is behaving in the correct manner. The fact that he is worried about the offer from Real Madrid is perfectly normal.
"The same thing happened with Franz Beckenbauer in 1966 when he received an offer from Inter. But we are calm, since we know that Ribery will remain with us. He is not forcing a departure."
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