Although Denjoy did not aspire to the political career of Herriot, who served in nine different cabinets and was premier of France three times, Denjoy's involvement with the Radical Party led to him serving as a town councillor for Montpellier in 1912, and as county councillor for Gers from 1920.
Kahit Denjoy hindi aspire sa pampulitikang karera ng Herriot, na nagsilbi sa siyam na iba't-ibang mga cabinets at noon ay punong ministro ng Pransiya ng tatlong beses, Denjoy ng paglahok sa Partido ang radikal na humantong sa kanya magsilbi bilang isang bayan konsehal para sa Montpellier sa 1912, at bilang konsehal ng county para sa Gers mula 1920.