The superintendent of any school district may designate the principal or other person having charge of a private school within the district, in which pupils are enrolled pursuant to Section 48222, as a person authorized to issue work permits to pupils of the school, in accordance with this chapter. Where the pupil resides in a portion of the county not under the jurisdiction of the superintendent of any school district, the county superintendent of schools may designate the principal or other person having charge of a private school as the person authorized to issue such work permits. The superintendent of the school district, or the county superintendent of schools as the case may be, shall periodically ascertain that the designated person has complied with the requirements of this chapter pertaining to issuing authorities.