Schüller started playing football at Hülser SV before joining the youth department of SGS Essen in 2012. She made her Frauen-Bundesliga debut aged 16 on 1 December 2013, in a 2–0 home defeat against VfL Wolfsburg.[2] She scored her first two Bundesliga goals on 26 February 2014, in a 3–1 away win against BV Cloppenburg. In July 2017, Schüller extended her contract with SGS Essen for two years until June 2020.[3]
Bayern Munich
In July 2020, Schüller signed a three-year contract with FC Bayern Munich. She made her debut for her new team in a preseason match, scoring the first two goals for a 3–1 win against SC Freiburg on 9 August.[4] At the next preseason friendly, against UWCL qualifiers SK Slavia Prague, Schüller contributed a goal in a 4–0 win.[5]
Schüller also made her first ever UEFA Women's Champions League appearance in a 2–1 loss against defending champions Olympique Lyonnais on 23 August. Bayern was subsequently knocked out on a 2–2 aggregate loss, with Olympique Lyonnais moving to the semi-finals with an away-goal advantage.[6]
FC Bayern began the 2020–21 Frauen-Bundesliga against SC Sand on 4 September, with Schüller in the starting XI and scoring her first Bundesliga goal with the team, ending with a 6–0 victory. Bayern would go on to win their third league title. Schüller scored a total of 16 goals in her first season with Bayern Munich, finishing third place behind Nicole Billa of TSG 1899 Hoffenheim (23 goals) and Laura Freigang of Eintracht Frankfurt (17 goals) as top scorers of the season.[7]
She continued her impressive displays in the 2021–22 Frauen-Bundesliga season, finishing as the league's top goalscorer with 16 goals as well as the club's top goalscorer with 21 goals in all competitions.[8] In the 2022–23 season, Schüller scored 19 times across all competitions to help Bayern win the league title once more.
In the 2023–24 season, she scored the game winner in the 77th minute of the 2–1 away victory over Eintracht Frankfurt.[9] Lea reached double figures for league goals yet again, scoring 11 times as Bayern retained the Frauen-Bundesliga. On 1 May 2025, Schüller scored a hat-trick to fire Bayern to a 4-2 win over Werder Bremen in the DFB-Pokal Frauen final.[10] This secured the club's first-ever domestic double and first DFB-Pokal trophy since 2012.
Schüller was first called up by coach Steffi Jones to train with the full Germany national squad in June 2017,[12] but did not make the final squad for the 2017 UEFA Women's Championship.[13] She made her full international debut against Iceland in a 2019 World Cup qualifying match on 20 October 2017, coming on as a late substitute and scoring the final goal in a 3–2 defeat for Germany. Later in qualifying in April 2018, Schüller scored all 4 goals against the Czech Republic in a 4–0 win.[14]