California Code, Business and Professions Code - BPC § 7591.11

(a) The bureau shall deny a firearms permit, pursuant to Chapter 2 (commencing with Section 29800) of Division 9 of Title 4 of Part 6 of the Penal Code, to any licensee, qualified manager, or alarm agent who has been convicted of a felony, unless the felony conviction has been reduced pursuant to Section 17 of the Penal Code or the person has been pardoned by the Governor.  The licensee, qualified manager, or alarm agent shall not have a right to a review or a hearing if the denial is made pursuant to this section.

(b) The bureau shall not issue a firearms permit pursuant to this chapter to an applicant who, within the past 12 months, has been found incapable of exercising appropriate judgment, restraint, and self-control, for the purposes of carrying and using a firearm during the course of his or her duties pursuant to the assessment required under Section 7583.47 for a permit associated with a security guard registration.