The 56-year-old believes that the Bavarians are now the envy of the continent after progressing to the final while keeping true to their philosophy
Jupp Heynckes' men eliminated Real Madrid in the semi-finals of Europe's most elite club competition after penalties to secure passage to the showpiece, which will be played at the Allianz Arena.
Rummenigge believes that Bayern Munich's philosophy and style has won the hearts of European fans, who will be cheering on the Bavarians in the final.
"Since Wednesday night I have received an incredible number of text messages and e-mails from colleagues from all over Europe," he said in an interview with Bild.
"Everyone likes the fact that we were able to earn our place in the final with our philosophy. They'd like for us to win the title. And many non-Bayern fans are keeping their fingers crossed.
"Our team deserves the title because we have this incredible will. But I should warn against too much euphoria and thinking. For Chelsea, it is an incredible opportunity to end an unsatisfactory season with a complete success."
Rummenigge went on to discuss Heynckes' future of the club, hinting that his contract could be extended, should the coach decide to prolong his career.
"We can negotiate with Heynckes in the summer when his contract ends in 2013. He can stay longer if he wants."