Gainzarain (7 December 1904 – 18 July 1972) was an Argentine football (soccer) player who played a single official game for Argentina in the 1928 Summer Olympics.
Gainzarain joined River Plate at the age of 10 and made his senior debut in 1920.
He went on to play for Ferro Carril Oeste and Gimnasia y Esgrima de La Plata.