But his form was disrupted by an ankle injury he sustained in April.
"We are at a big club and that is one of the challenges of being at a big club -- that is what pushes you to go higher," the 21-year-old told the club's website (www.liverpoolfc.com).
Manager Juergen Klopp has added seven players, including midfielders Marko Grujic and Giorginio Wijnaldum, and forward Sadio Mane, to his squad.
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"We have to push each other and support each other so we can achieve that. It's the reason I came to Liverpool, to have challenges," Origi added.
"We all have qualities but we have to unite together and show we can do great things together."
Liverpool, who finished eighth in the Premier League last season, will start their new campaign with a trip to Arsenal on Aug. 13.
(Reporting by Shravanth Vijayakumar in Bengaluru; editing by Sudipto Ganguly)
