The way that California looks at this;
Anything that is ATTACHED is considered part of the house, not personal property.
In some circumstances, you could EXCLUDE an item from the sale;
It is often done for Curtains and Rods, as well as Ceiling Fan/Lights.
If my Client wanted to remove the Stove, Hood and Oven; I would not take the Listing:
I cannot imagine trying to sell a home like that, and the reflection on the Seller and the Listing Agent would be embarrassing. What would you tell potential Buyers?
This would not be a Seller that I would be proud to represent.
When a house is being foreclosed, and the Seller accepts Cash-for-Keys, they are required to sign a contract that they will not do this exact thing to the house. They will forfeit the money if they do.
And if a Seller did not have that EXCLUSION in the Contract, and they stripped the house; they could very likely be arrested for Grand Theft; and rightly so.