The quick and simple answer is: you usually don't need a permit if the shed is 120 square feet or less. In California, most jurisdictions have adopted the 120 square foot rule. If your shed area is larger than 120 square feet, it needs a building permit.
Construction work (non-residential): All construction work in Commercial and Industrial zones not within 500 feet of Rural or Residential zones as per the Maricopa County Zoning Ordinance, or within any zone but not within 1,500 feet of an occupied residence, shall not begin prior to a.m. and must stop by ...
Noise Ordinance (P-23) Therefore, it is hereby declared to be the policy of Maricopa County to prohibit excessive, unnecessary, disruptive, and annoying noises from all sources. The Sheriff's Department is responsible for enforcement of the Maricopa County Noise Ordinance (PDF).
This district is intended to promote and preserve a low-density residential character and maintain open space and natural features. The principal land use is single-family dwellings and uses incidental or accessory thereto. Lot size of at least 43,560 sq. ft is required in this district.
If your structure is less than 120 square feet, you will not require a building permit. Please refer to section 706 of the Zoning Ordinance for full text on accessory structures.
Application for permit or notice to the building official is not required for ordinary repairs to structural, replacement of lamps or the connection of approved portable electrical equipment to approved permanently installed receptacles.
Permits. Accessory structures greater than 120 square feet for residential structures and 200 square feet for commercial structures shall require zoning administrator approval.
Building permits are required for all structures with the exception of a structure that is less than 200 square feet with no electrical, plumbing or mechanical.