The skin of a cat is simply called skin.
However, if you are talking about the fur of a cat, there are a few terms you can use:
* Coat: This is the most common and general term.
* Fur: This term is interchangeable with "coat."
* Pelage: This is a more scientific term used to describe the entire hair covering of an animal.
You can say things like:
* "The cat has beautiful, soft skin."
* "The cat's coat is very fluffy."
* "The cat's fur is black and white."
* "The cat's pelage is thick and dense."