The Reds have their best chance in years to win the league, given their summer strengthening and positive start to the season.
And Shaqiri wants them to add the type of killer instinct that you get from teams like Bayern if they are to end the 29-year wait for a league title.
"At Bayern Munich, they have only the mentality to win titles," he said to the Daily Mirror.
"Liverpool are one of the biggest teams in the world. Last year they had a very good year. Sadly they didn't win a title. Now we try to make a step forward and try to win titles. That's the most important thing now and it has to be our goal — to win titles.
"I knew the coach before. This football, I knew before. So [the size of the club] was not a surprise for me.
"Of course it's a big change from Stoke to Liverpool. Liverpool is a big, big team. But I know how to be in a big team, because I played at Bayern Munich and I played at Inter Milan. So I knew what it would be like."