Cal. Penal Code § 13511.5

Each applicant for admission to a basic course of training certified by the Commission on Peace Officer Standards and Training that includes the carrying and use of firearms, as prescribed by subdivision (a) of Section 832 and subdivision (a) of Section 832.3, who is not sponsored by a local or other law enforcement agency, or is not a peace officer employed by a state or local agency, department, or district, shall be required to submit written certification from the Department of Justice pursuant to Sections 11122, 11123, and 11124 that the applicant has no criminal history background which would disqualify him or her, pursuant to state or federal law, from owning, possessing, or having under his or her control a firearm.