[1] He came to office at a time a large part of the province of Santa Fe de Nuevo México was independent of Spanish rule due to the Pueblo Revolt.
In 1683 Jironza was appointed Captain General and Governor of the New Mexico frontier, with the mandate of fighting the Apaches and attempting to re-conquer the territory.
[4] Jironza sent Juan Domínguez de Mendoza, an experienced militia leader, and Fray Nicolás López to explore the Jumano country and establish missions.
They spent six weeks there, building a fort as defense against Apaches near the location of modern San Angelo, Texas, and hunting buffalo for hides and food.
He was not given sufficient soldiers to effect the reconquest of New Mexico, because resources were held back due to rumours that the French were conducting an expedition in Texas, and preventing this would be the higher priority.
[5] In 1685 Jironza made an effort to collect the refugees from New Mexico who had disobeyed royal orders and left the El Paso area.
[2] Jironza was temporarily removed from office in 1686 since his activities in the Nueva Vizcaya region had caused conflict with both the church and the civil authorities.
[12] He was planning to make another effort to reconquer New Mexico in 1691, but had to cancel the expedition while he dealt with uprisings by the Suma Indians to the south of El Paso.
He was appointed lieutenant, alcalde mayor and capitan á guerra, and was given the duty of accompanying the missionaries in Sonora and recording their discoveries.