Liverpool has not won the title since 1990 and its boss Jurgen Klopp is still waiting for his first trophy after three years in Merseyside.
But the Swiss star Shaqiri is a serial winner. He has been in clubs that have collected 13 trophies during his time with them and, at 13.75 million pounds from Stoke, is an exciting addition to the variety of Liverpool attacking talent.
The former Basel striker, Bayern Munich and Inter Milan are optimistic about how the situation will go to Liverpool this season, who are launching their Premier League campaign in Anfield against West Ham.
Shaqiri, 26, said: "For me, nothing is impossible.
"We can be everything we want to be." We beat Manchester City in the league and in the Champions League last season, so I think we can win everything in the world.
"Our ambition is to compete with the best and go to the field against whoever we are playing with the intention of dominating the game."
"I came here to win titles and, of course, I have that winning mentality"
During a brilliant career, Shaqiri won the Champions League and two Bundesliga titles while he was with Bayern Munich and was the winner of the league in Switzerland with Basel three times.
Now, he wants to add the Premier League to his CV. The astute Swiss ace said: "Our goal is to win as many titles as possible, that's the club's goal now and we're looking forward to starting this season.
"I came here to win titles and, of course, I have that winning mentality, I think this club should have this ambition to win titles.
"It's one of the best clubs in the world, I think they had a very successful season, a good season, the last time, but we did not win a trophy.
"It's important to be very good again, but you really need to win."
"I think we have quality now, we have taken players with quality to help the team.
"We have a talented team that can play to win titles."
Shaqiri, who played in the Swiss World Cup this summer, emphasizes that Klopp now has a lot of depth at his disposal after a summer spending spree to complement what he already had: a team good enough to make it to the final. of the Champions League only three months ago.
Alisson, Fabinho and Naby Keita make up the quartet of newcomers to Anfield this summer and Shaqiri said: "We have a great team and many players with quality, so I think the coach can rotate.
"I think the club is totally different now when he came in. He has done a very good job and you can see that people have a lot of respect for him and his work.
"The progress of this club and this team is increasing every year, Liverpool is one of the best teams in the world, everyone can see that, now we have to do it in the field.
"Everyone is very focused on that and with the transfers that the manager has made, it can be seen that he wants to move forward and progress.
"He wants to compete with the best teams in the world and is on the right track."
"We want to compete with the most important teams like Bayern Munich, Real Madrid and Barcelona."
Despite the success he has enjoyed throughout his career, not everything has been rosy in the garden recently.
He left Stoke this summer after his relegation from the Premier League with critics of the likes of former teammate Charlie Adam in his ear.
However, Shaqiri has never lacked self-confidence and is sure that he fits perfectly into his last environment. "This is my fourth year in the Premier League, so I know how Liverpool play," he said.
"I know how good the players are like Mo Salah and Roberto Firmino, I started to work well with them and have fun with them.
"I think we have a great team with a lot of quality that can win all the games, we have to try to win all the games because they are all important.
"I can play in many positions in advance and that's positive for the coach, he can rotate sometimes and if he decides to play with me in the middle of the left or the right is not a problem.
"I can play in these positions and I think it's good for the team when you can play in many positions."
Positive? Shaqiri is certainly that, about himself and also about Liverpool's chances this season.