I think that any "3rd world" country would survive. Maybe not the government, but definitely the people. Basically, any country in Africa, any middle-eastern country, then maybe some countries like Russia, Ireland, Germany and other countries that some consider "extremists".
I'm at odds about China because they have some bad ass people there, but they have way too many people. If the ZA started in China, there'd be too many zombies to deal with - it would spread too quickly. But those Asian mobs are pretty bad ass. xD
I think that the US would be one of the least equipped countries to deal with it. Also, England, Scotland, maybe some of Canada and similar countries that have a lot of laws about personal safety (hard to or can't own guns, citizens are forced to rely on local and federal police and military to keep them safe, so on) would be screwed.
I know that, even though I'm from Texas, there's a lot of negative stereotypes about self sufficiency. If a group of friends is self sufficient, they're considered militants. It's just really discouraged. Too many people I know buy into those stereotypes, too, thinking badly of people who have survival skills.
That's why I think that we'd be screwed here lol.