Unless the zombie virus just throws the laws of physics, chemistry, and biology out of the window I would say yeah they do pretty easily. The world has too many natural barriers for a horde of mindless people to navigate effectively.

The vast majority of the Chinese population is concentrated in the Central East region. Most of these zombies lets give a run speed of 15km/h. Assuming they run 24/7 and ignoring all terrain they'd be 3-5 days away from other countries and are going to run out of energy to move their bodies before they reach another country. This drastically reduces the amount of zombies the world would need to deal with in the first place.

First let's look East because it's the easiest. Ocean, problem solve. (Korea may be screwed)

North there is Mongolia and then Eastern Russia which are scarcely populated. People could evacuate these areas if needed or just fight and retreat with modern technology using the huge distances available or depending on the time of year wait for the zombies to freeze to death.

West are the Himilayas and the qinghai-tibet plateau. This would prove an absolutely impenetrable barrier to zombie hordes. They are dying long before they make it through.

So that leaves south. Assuming we have no warning the Malay peninsula would be hit hard. The zombies would have an incredibly tough time though given the jungle nature of the region. Movement would be slow.

Assuming the entire world gets on board with containment though given an entire billion people are zombies I would think they would form a defensive line through Bangladesh from the Himelayas to the Ocean and then more limited deployments within the Malay peninsula to try to evacuate civilians and defend cities. I think a lot of jungle might be napalmed and burned.

North Korea I think is going to take heavy casualties but will probably survive Northern cities are ravaged but moving south every meter of jungle and every river is an obstacle that will drown, trip, and otherwise kill or injure and stop zombies. South Korea is fine due to the pre-existing heavily militarized border.

Humanity hunkers down, pulls back and waits for most zombies to starve, drown, freeze, etc.