The 22-year-old held talks with Newcastle about joining the Premier League club from Hertha Berlin, but he instead opted for a move to Hamburg, where he spent last season on loan.
However, Lasogga says playing in England remains a target for him after he has helped to rebuild a Hamburg side which narrowly avoided relegation from the Bundesliga last term.
Lasogga told BILD: "There is no doubt I have a long-term deal with Hamburg as I want to help the club build a strong new team.
"I know I am an important part of their plans for the future. I am a realist, this won't work in two days. This will need years of hard work.
"Anyway, at some point of my career I want to move to a club in England."