Salazar was born in Puebla de los Angeles, current Mexico.
It is unknown if he had any direct connection to Oaxaca Cathedral though some of his compositions are found in manuscript there.
In his sacred Latin works Salazar was noted for a strict contrapuntal style harking back to Palestrina.
The musicologist Bruno Turner considers that Salazar "represents the last of the truly conservative Hispanic composers before the all-conquering Italian style took Spain and its Empire by storm".
[1] Salazar also composed lighter pieces including Christmas villancicos, including several in the negrillo genre imitating the dialects and dances of African slaves.