In Chico, building permits come from the city's Building Division, and that's the office to ask whether adding insulation to your walls needs one. I won't guess at it for your job. If it does need a permit, we handle the application and inspection with the city or county office that covers your address, and we'll tell you which office that is.
When a job has a permit, we give an insulation certificate to you, or to your general contractor, and it's uploaded to the permit before the final inspection. The city has also paused its own residential insulation inspections until a new local check takes their place, so I'll tell you what applies to your job when I write it up.
Around Chico, a lot of our wall calls come from older houses that were never insulated in the walls, and from single rooms that run hotter or colder than the rest of the house. We do the same work in Paradise and Oroville, where the permit office can be different, so I check your address first.