Students at Sts. Tarkmanchatz are taught by a multi-lingual faculty, many of whom have had significant experience living and teaching abroad. Nearly each member of the faculty has received a bachelor's degree or higher in their respective field of instruction. Many of the faculty members also have years of teaching experience, which the administration of the school highly values.
The school's principal is the V. Rev. Fr. Norayr Kazazian. The school's administration also consists of a faculty board that works with the principal and provides guidance and oversight on policy and procedural matters.