It is complicated. California does not have a specific statewide ban on wolf-dog hybrids, but they can be classified as "dangerous dogs" under state law if they show aggression or meet certain criteria. Many cities and counties have local ordinances that ban or restrict them.
Ownership may require special permits, proof of vaccination and sterilization, secure fencing, liability insurance, and training. Consult your local animal control agency or an animal law attorney for accurate information in your area.
Wolf-dogs are complex animals with higher risks of aggression and escape, and ethical concerns exist about keeping partially wild animals in captivity.