Outside of new construction where things are bundled, a fridge is not a standard thing to come with a house. Only things that are considered “built in” are legally part of a house sale. Fridges are almost never attached physically, outside of expensive built-in ones. Interestingly enough, this means that sometimes a cooktop/oven is not considered part of this if it’s movable and not bolted to the wall in some way.

Sometimes they are sold with the house as part of a bundle, but that would be called a “conveyance” as it’s not considered “real” property (in the legal sense) and is usually a separate line item or form in a house sale contract.