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.
The Switzerland global arrived on Merseyside earlier this summer in a £13m move from Stoke City, who suffered Premier League relegation in his final campaign at the club.
"I don't want to win by any means", Klopp told Sport1. "I think it's the year of Liverpool, Alisson and Firmino", Pele tweeted on Saturday.
"We do not have to play much better in the games against City - if we perform like we did previous year, that would already be good".
"But it also means that if Liverpool do not go close, they may find themselves back in familiar territory in 12 months' time, behind those who usually invest more but are rebuilding going into this campaign".
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Good pre-seasons don't create excitement but they can certainly add to the positive vibe already there and wins over admittedly depleted Man City and Man Utd sides, a 5-0 thumping of Napoli and a 3-1 cruise against Torino on Tuesday, have added to the belief that Liverpool mean business.
"We want to be, it has been clear for ages, champion of England and winning the league but how can we say that?" We have to be more clinical in the right moments, more aggressive in the right moments.
But having spent £170million this summer on midfielders Naby Keita and Fabinho, goalkeeper Alisson and Xherdan Shaqiri Liverpool are seen as the genuine rivals to City for the title. We need to improve everything.
He said: "I came here to try to win titles".
And with a series of key summer acquisitions, the Reds are seen as the most likely side to dethrone Manchester City. That changes a lot of things, ' said Klopp of his counterpart. We have taken players in with the quality to help the team. "I don't know exactly how - fancy dress for the players or whatever!"