The Bavarians gave a fearsome demonstration of their attacking power on Saturday with an awesome display as their hosts were ripped apart.
Franck Ribery was the star of the show, helping himself to two goals and running Bremen ragged.
Guardiola said on the Bayern website: "I'd like to say a big thank you to my team, because they were very, very good. It was an honour to be the coach here."
The Bundesliga leaders have now won 13 and drawn two of their opening 15 league games and also have a 100 per cent record in the Champions League. Their last defeat came in that competition at home to Arsenal in March.
President Uli Hoeness said: "You can see we're brimming with confidence.
"We're on an unbelievable run at the moment. Once this team takes the lead they really rev up the motor. As a Bayern fan and club president you just sit back and enjoy it."
Bremen captain Clemens Fritz said: "It was a debacle. Bayern simply took us apart. There can be no excuses. We have to come up with the right reaction and pick ourselves up again."