The Reds begin the new campaign with a home game against West Ham United on Sunday and Shaqiri, a summer arrival from Stoke City, is in contention to make his competitive debut for the club.
Jürgen Klopp made Shaqiri his third new signing of the transfer window last month, with Alisson Becker subsequently joining Fabinho, Naby Keita and the Switzerland star in moving to Anfield ahead of 2018-19.
And the former Bayern Munich and Internazionale forward is in no doubt of his new team’s capability to challenge for trophies both at home and abroad this term.
Shaqiri said: “For me, nothing is impossible. We can be everything we want to be. We beat Manchester City in the league and the Champions League last season so I think we can beat anyone in the world.
“It has to be our ambition to compete with the best and to go on the field against whoever we play trying to win the game and dominate the game. Our aim is to win as many titles as possible. That is the goal of the club now and we are looking forward to the season.”
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Shaqiri’s spells with first club FC Basel and Bayern yielded honours including five domestic titles and the 2012-13 Champions League - and he is targeting further success with Liverpool.
“I came here to try to win titles. I think this club needs to have this ambition to win titles, to play for titles, and to be one of the best teams in the world,” the 26-year-old continued.
“It is one of the best clubs in the world and so now we try to show that on the pitch. Liverpool had a very successful and good season last year but we didn’t win a title. Now it is important to be very good again and to achieve that last thing.
“I think we now have the quality and a talented team who can play to win titles. It has to be our goal to try to be the best in the league.
“All players are ready to go for the new season. We have a big squad so the coach can rotate every time and keep the quality on the pitch.
“I think, and I hope, we are going to kick-on on Sunday with the first win and try to give the fans what they deserve - titles. We want to compete with the biggest teams like Bayern Munich, Real Madrid and Barcelona. They are the best teams in the world and Liverpool is also one of them.”