The German explained that the English league have flexed their muscles in the last few years and have managed to attract more players than other top-flight leagues.
"The problem with Florentino Perez, whom I know well, is called the Premier League," Rummenigge said.
"He presides over the most powerful and successful club in the world, with a great strength to attract stars.
"But his problem is that Premier League clubs gain three times more money from TV rights compared to [clubs from] Spain, Germany or France.
"The English have done very well; we have to admit it."