Living in Paris and representing France in tournaments since 2002, Skripchenko has become a noted ambassador for the game in Europe. She competed in the Men's French Individual Championship (2002, 2003). She won the Ladies' French Chess Championship in 2004, 2005, 2006, 2010, 2012 and 2015. In team play, she won the French National Chess League with NAO Chess Club (2003 and 2004) and with Clichy Echecs (2007, 2008, 2012 and 2013) and the German Chess Bundesliga with Werder Bremen (2005). Her career victories also include three Nationale ladies titles (which she earned with Baden-Oos in 2003, 2004, and 2005) and five European Club Cup victories with Cercle d'échecs de Monte-Carlo (in 2007, 2008, 2010, 2012 and 2013).