As a student at the École des Beaux-Arts, Paris, Giroux distinguished himself by winning the Prix de Rome competition in 1825, which afforded him the opportunity to travel extensively through Italy, Austria, and Switzerland. During his extended stay in Rome (1825–1830), he befriended fellow landscape artists Camille Corot, Léon Fleury, and Théodore Caruelle d’Aligny. Giroux also developed a keen interest in photography. Having made his debut at the Paris Salon in 1810, he continued exhibiting there until 1877.
Giroux was also a well established art dealer and gave up painting to promote his business selling curiosities. Giroux’s work is extensively discussed in Steven Adams’ doctoral thesis from the University of Leeds in 2003.