Asseyi began her career with amateur club
US Quevilly at age 6. Due to Quevilly not having a women's section, at age 16 she played on a mixed team composed mostly of male players. She later joined the women's section of football club
FC Rouen, where the youngster scored 23 goals in 28 total appearances. She joined
Montpellier midway through the
2009–10 season in January 2010 and played there until moving to
Olympique de Marseille ahead of the
2016–17 season. In 2020, amid the
COVID-19 pandemic, she transferred to
Bayern Munich in Germany. Upon her arrival at the club, she was welcomed by fellow French citizen
Benjamin Pavard, who played for the men's side. She had been in conversations with Bayern about a transfer for a year prior to the move. In her
Bundesliga debut on the first matchday against
SC Sand, Asseyi scored, giving Bayern Munich the lead just two minutes in. In November she injured her ankle during a national team training course and had surgery a few days later. At the beginning of March 2021, she returned to the pitch, immediately scored another goal in Freiburg and won the Bundesliga championship with Bayern Munich at the end of the season. A year later, one of her goals - scored with a
bicycle kick against
1. FC Köln - was voted goal of the month for March 2022 by the spectators of the
Sportschau by a large margin. On 2 August 2022, Asseyi joined
Super League club
West Ham United. In the
2023–24 home game against
Manchester United, she scored the equalizer making it 1–1 in the 85th minute. == International career ==