Do they eat cat in China?

The answer, as is typical when discussing China, neither yes nor no.

Dog meat

In Wuhan, and most parts of China, they absolutely do not eat cat or dog and may be appalled and mildly offended that you even ask.  “That is horrible!”  they say.  “Dogs and cats are so cute – they are pets – we do not eat them.”  But then they may turn up their noses and vaguely remark that those people in the poorer southern regions were an odd, maybe even backwards people and that is why people sometimes think these things about China. 

Cat meat

So I was under the impression that people in South China used to eat cat.

 That was until I traveled to Yangshuo in southern China to live and study Chinese for two weeks.

Restaurants in Yangshuo often post their menus on large signs that they stick out on the side walk.  My fellow classmates were walking down the road when Eric, who has studied Chinese the longest and can read many characters, saw something that caught his eye....but he wasn't too sure about what it really meant...however...

Any doubts about the translation were cleared up when the boss came up behind them and, with a grin, gestured and said “meow, meow!”

So, yes, there are restaurants where you can find cat or dog on the menu, but it's mostly only in a the south west part of China.  Typically, people in Wuhan think it's pretty disgusting.