Perrier was instrumental in introducing into France the grand style of the decorative painters of the Roman Baroque.
These prints provided visual repertories of classical models for generations of European artists and connoisseurs.
In 1632–1634, he had as his pupil Charles Le Brun, who would become a central figure of official French painting in the age of Louis XIV.
In 1648, Perrier was one of the founders of the French Royal Academy of Painting and Sculpture and was elected as one of the original twelve elders in charge of its running.
In 1869, the French city of Mâcon founded its Musée des Beaux-arts with a bequest of eight canvases by Perrier.