Infestations and the landlord’s duty
Yes. California landlords must keep rentals reasonably free of rodents, insects, and other vermin, and must address serious infestations they are responsible for. State law lists a building that is "free from... rodents, and vermin" as part of what makes a home livable.
This often covers building-wide problems and infestations caused by conditions the landlord controls, such as gaps in the structure, shared walls, or poor maintenance. Bed bugs, cockroaches, and rodents can all become habitability issues when a landlord fails to arrange proper professional treatment after being notified — a quick can of spray usually is not enough for a real infestation.
Responsibility can depend on the cause, so documentation matters. Photograph the pests, keep your written reports, and save any pest-control records or receipts for items you had to throw away. If a serious infestation is going unaddressed in your home, a free, confidential review can help you understand your options.
This is general information about California tenant rights, not legal advice. Every situation is different.