Guy Demel put the hosts ahead after just three minutes but Nelson Valdez leveled 60 seconds later before Ze Roberto and Jose PaoloGuerrero put Hamburg firmly in control.
PaoloGuerrero was sold to Hamburg and Beckenbauer claims further departures to the north may be on the cards as their Bundesliga rivals are in the market for a striker, having failed to land Milan Baros or Patrick Kluivert.
PaoloGuerrero - who was banned for five Bundesliga games on Thursday by the German Football Association for throwing a bottle at a fan at the end of his side's 0-0 draw with Hannover on Sunday - rounded off the scoring in injury time with a finish which went in off the post.