González was sent to the Northern Army and participated in the campaign of José Rondeau in Upper Peru (Bolivia), fighting in the disastrous Battle of Sipe-Sipe.
He spent the rest of that decade in the city of San Miguel de Tucumán, a member of the small garrison was left of the Northern Army, under the command of Colonel Domingo Arévalo.
In mid November 1819, with two other officers, González arrested the governor, Feliciano de la Mota Botello, Colonel Arévalo and General Manuel Belgrano.
In late August, González was a leader of malcontents in the army allied with the caudillo Juan Felipe Ibarra of Santiago del Estero.
He completely disappeared from the public eye and spent the rest of his life working in the field in Buenos Aires Province, under his brother, Colonel Bernardo González, a very close friend of Juan Manuel de Rosas.