The Switzerland star dreams of being considered the best in European for years and believes Pep Guardiola has big boots to fill when he takes Jupp Heynckes' place
The Bavarians were already crowned Bundesliga champions last month and take on Borussia Dortmund and Stuttgart in the Champions League and DFB Pokal finals respectively as they have set their sights on winning a historic treble.
"I believe that everybody at Bayern wants to win a lot of trophies," Shaqiri was quoted as saying by Bild.
"Nobody will sit back and relax if we were to win the treble. I dream of becoming as dominant as Barcelona have been over the years - that should be Bayern's goal."
The Switzerland international then went on to discuss the arrival of Pep Guardiola this summer and he stressed that the Spaniard faces a tough task to outdo Jupp Heynckes.
"It would be hard for any coach to follow in the footsteps of Jupp Heynckes next season. It will be a hugely [daunting] inheritance," he added.
"We did what we did against Barcelona thanks to Heynckes. We are having a sensational season that could become historic."
Heynckes has been linked with a number of clubs in the past few months but he has hinted at retiring at the end of this season.