Corinne Diacre's side, among the favourites to win the eighth edition of this competition, produced a breathless performance to take a deserved 3-0 lead at half-time thanks to forward Eugenie Le Sommer's early opener and two headers from towering defender Wendie Renard.
Midfielder Amandine Henry curled in an excellent fourth goal late on, much to the delight of the 45,261 fans inside the Parc des Princes.