She started her career at Saint-Memmie Olympique, then signed on to the Women's United Soccer Association (WUSA), the American professional league. She played for the Philadelphia Charge during their 2002 and 2003 seasons, in 2002 ranking second in the league in goals scored and winning the Most Valuable Player and Offensive Player of the Year awards. In 2003, she tied for the lead in goals scored and led the league in goals per game.
After the WUSA disbanded in 2003, she returned to France, where she played for Juvisy FCF. She was the leading domestic scorer in the 2000/01, 2001/02, 2004/05, and 2005/06 seasons. She also played for the New Jersey Wildcats in the American W-League during their 2004 season, leading the league that year in both goals scored and total points despite playing in only ten matches.
In November 2012 Pichon became only the second woman in France to be granted "paternity" leave due to a change in legislation. Her wife gave birth to their son following in vitro fertilisation (IVF).