Claude Brossette, seigneur de Varennes d'Appetour (7 November 1671 in Theizé, Lyonnais – 1743) was a French lawyer and writer.
He was educated at the Collège de la Trinité in Lyon and joined the Jesuits before turning to law.
In 1700 he founded the Académie des Sciences, Arts et Belles-Lettres de Lyon, where he remained a bibliothecarian until 1743, and whose secretary he was appointed in 1724.
Brossette was a man of far-reaching connections, exchanging letters with Academy President Bouhier, Abbot Olivet and Father Vanière from Toulouse.
Later his reach widened; he exchanged point of views with Voltaire, Louis Racine, Abbot Lenglet-Dufresnoy, Déon, and Father Brumoy.