Pizzala began her career playing for local club in her hometown before settling in at Celtic Marseille in 2001. While playing with Celtic, she was teammates with fellow international Louisa Necib. Both players were instrumental in helping the club win the Division 3 Féminine, the third level of French women's football in 2004. In the league's final match, Pizzala scored a goal in a 4–0 win over Le Mans. In 2004, Pizzala and Necib were both selected to attend CNFE Clairefontaine, the women's section of the Clairefontaine academy. She spent three years at the academy and made 22 appearances scoring no goals in her final season. After departing the academy, Pizzala returned to Celtic Marseille and played with the club's senior team, who were now playing in D2 Féminine, the second division of football for women in France. With Celtic, she made 13 league appearances scoring two goals.
Following the 2006–07 season, Pizzala signed with Paris Saint-Germain. Her inaugural season at the club saw Pizzala earn her international debut with France, though her domestic club struggled finishing mid-table. For the 2009–10 season, fellow internationals Camille Abily, Sonia Bompastor, and Élise Bussaglia joined Les Parisiens. The arrival of veterans have paid off for Paris Saint-Germain as the club reached first place in the league after the first ten matches. Pizzala appeared in all ten of those matches scoring two goals against Soyaux and La Roche-sur-Yon. In the 2009–10 edition of the Challenge de France, Pizzala scored two goals as Paris Saint-Germain reached the final. In the final, she scored a double as PSG cruised to a 5–0 victory over Montpellier. Pizzala finished the season with 25 total appearances and eight goals. Pizzala remained a starter for the 2010–11 season. She appeared in all 22 league matches scoring three goals as Paris Saint-Germain finished runner-up to the champions Lyon. The second-place finish resulted in Paris Saint-Germain qualifying for the UEFA Women's Champions Leaguefor the first time in the club's history.
Olympique de Marseille
After seven seasons in Paris, during the summer of 2014, she decided to not renew her contract with Paris Saint-Germain and return to her home town of Marseille to join Division 2 Féminine side Olympique de Marseille. She helped the club win the Division 2 title in 2015–16, and gain promotion to Division 1 Féminine's following season.