The answer is in your question. The movement is known as French Impressionism.

Maria Blunden has written:

'Impressionists and impressionism' -- subject(s): Biography, France, French Art, French Painting, Impressionism (Art), Impressionist artists

'Journal de l'impressionisme' -- subject(s): France, French Art, Impressionism (Art)

Beverly Whitney Kean has written:

'All the empty palaces' -- subject(s): Art collections, Art patronage, French Painting, History, Impressionism (Art), Influence, Painting, French, Post-impressionism (Art)

'French painters, Russian collectors' -- subject(s): Art collections, Art patronage, French Painting, History, Impressionism (Art), Influence, Painting, French, Post-impressionism (Art)

French impressionist Claude Monet was one of the founders of Impressionism. Most art historians cite the years of 1865 and 1866 as the beginnings of Monet's impressionism.

Yes. He was a founder of Impressionism.