Hank González's political career began when he moved from Atlacomulco to Toluca to take charge of the State of Mexico's Departmento de Escuelas Secundarias y Profesionales (Department of Professional and Secondary Schools) as well as the Oficina de Juntas de Mejoramiento Moral, Cívico y Material (Office of Committees for Moral, Civic and Material Improvement) between 1952 and 1953. The following year he was in charge of the treasury for the municipality of Toluca. From 1955 to 1957 he was the president of the ayuntamiento of Toluca.