The Old Lady took the lead but goals by Butt, Olic, Gomez and Tymoschtschuk secured a 1-4 win to the Germans.
“We were great tonight and played excellent football and deserved to win the game,” Rummenigge told Sky Sport Italia.
“It was a difficult game for us away from home at Juventus. But, we knew we had to win the match.
“The team played very well and in the end we deserved to go through.”