Rabbits are not subject to breed-specific legislation, and the Californian faces no breed-targeted bans. Any laws that touch the breed apply to rabbits in general rather than to the Californian by name.
Where regulation exists, it typically concerns whether a rabbit is treated as a pet or as livestock, the scale of an operation, and animal-welfare or public-health standards. The Californian's strong commercial-meat role means its keepers may encounter livestock-oriented rules more often than owners of purely companion breeds.
Because no breed-specific rules apply, prospective owners should look to local pet, livestock, and zoning ordinances. The material here is informational and is not a substitute for legal advice.