He represented Germany U21s at international level, and was also called up to the German senior national team for a friendly against Chile in 2014.

FC Gladbeck, Schalke 04, Rot-Weiss Essen, SG Wattenscheid 09 and VfL Wolfsburg, Lasogga attracted the attention of Bundesliga club Bayer Leverkusen, who signed him in 2009.

[5] He scored 25 times in the U-19 Bundesliga West, making him the league's top goalscorer,[5] and helped secure Leverkusen a spot in the national finals,[6] which they lost 1–0 to Hansa Rostock.

[8] Lasogga impressed during Hertha's preseason friendlies, scoring six goals,[5] but injured himself just days before the opening fixture.

By the winter break, Lasogga had started fourteen of Hertha's seventeen Bundesliga matches, and scored six times.

At the end of his first Bundesliga season, Lasogga had played a total of 32 matches, including 23 starts, and scored eight times,[15] making him Hertha's top goalscorer.

On the final matchday, Lasogga sustain a severe injury, tearing his ACL, and was not expected to return to the pitch until early November.

He scored the only goal in the 1–0 win against SV Sandhausen on 21 April 2013, to ensure Hertha BSC's their direct promotion for the 2013–14 Bundesliga season.

[25] During the 2016–17 season he scored 2 goals in 22 appearances in all competitions for Hamburger SV, with him providing back up for regular Strikers Michael Gregoritsch and top scorer Bobby Wood.

[34] Although he did not score again afterwards, Lasogga ended the season as Leeds' second best scorer in the league with ten goals, narrowly losing out to Kemar Roofe's eleven.

[38] On 14 February 2021, Lasogga signed with Qatar Stars League side Al-Khor managed by compatriot Winfried Schäfer.

On 28 February 2014, Lasogga was called up to Germany's senior national team for the friendly in the Mercedes-Benz Arena in Stuttgart against Chile.