Pouyade was born into a military family and studied in the Prytanée National Militaire from 1924 to 1928. In 1930 he entered Saint Cyr but after two years decided to pursue a career in the Air Force. He was commissioned as a pilot in the Versailles Air Academy in 1934. Lieutenant Pouyade served in the 6th Fighter Wing at Chartres Airfield from 1935 to 1937 and was then transferred to the Reims-based 13th Fighter Wing. On 15 June 1939 he was promoted to captain.
After a five-month-long journey through India, Africa and the United States he reached Britain in February 1943. The commander of the Free French Air Force, General Martial Valin, introduced him to Charles De Gaulle, who assigned him to recruit volunteers for the Normandie squadron, a Soviet-based Free French Air Force unit which took part in the combat operations on the Eastern Front. Pouyade was sent in May 1943 to the Soviet Union to participate in the fighting as chief of an escadrille in the unit, arriving in June 1943. On 14 July, he claimed a Bf 110, and a Fw 189 and a Ju 87 the next day. On 18 July the Normandie-Niemen commander Jean Tulasne was shot down in a battle over Oryol and killed, and Pouyade replaced him. Under his leadership the unit took part in the battles for Belarus. On 21 July 1944, after its participation in Operation Bagration the unit was renamed Normandie-Niemen, for its contribution to the campaign in the eponymous river's area. They were later involved in the fighting over Poland and East Prussia, as part of General Georgi Zakharov's 303rd Air Army. On 11 November 1944 Pouyade was relieved from his duty as commander and replaced by Louis Delfino. He returned to the now-liberated France, where he was severely injured in a car accident in January 1945. After recovering, he returned to active duty at April. When the war ended he held the rank of lieutenant colonel and had scored eight solo and two group kills in 178 sorties.
Post-war life
In 1947 Pouyade became president Vincent Auriol's air attache, a post which he held for three years. From 1950 to 1953 he was the military attache in the French Embassy in Argentina. Afterwards he served as an instructor in the NATO Defense College. In 1956 Brigadier General Pouyade retired from the French Armed Forces. After his discharge he worked as an advisor on Soviet matters in the French arms company CSIAé and as the director of the overseas department in RICOM. On 9 February 1966 he replaced Jean Charbonnel as the Union for the New Republic's deputy for Corrèze in the French National Assembly. From March 1967 until April 1973 he held the same post for Var. Pouyade chaired the Franco-Soviet Friendship Association and was awarded the Lenin Peace Prize by the Soviet government during 1976. He died from cancer in 1979 and his ashes were scattered off the coast of Toulon.