California Code, Business and Professions Code - BPC § 10167.5

The business at a location licensed pursuant to subdivision (a) of Section 10167.3 shall be conducted under the immediate supervision of the licensee or a designated agent who is not a designated agent at any other location.  Whenever a designated agent ceases permanently to be a designated agent at any location because of death, termination of employment, or any other reason, the licensee, within five days thereafter, shall give written notice to the department.  A license issued for a particular location shall automatically expire 60 days after the time the business conducted at such location ceases for any reason to be under the charge of and managed by the designated agent of record with the department, unless within such 60-day period the licensee submits written notice of the new designated agent to the department.

A designated agent of the licensed service may serve as designated agent for the location in question as well as for the location for which he or she is the designated agent of record during the period of 60 days.