In Western societies, once food goes into your mouth, nobody wants to see it or hear it. If you are raised that way, talking with the mouth full or making noises while eating gets on your nerves.
I've been in both Korea and China for long periods and I just had to get accustomed to it and accept it. As H. Raquel puts it, it's their way of showing they enjoy the food. I can't see going someplace else and telling them how to eat.
However, when my Korean and Chinese friends go to the U.S., I point out that they should change their ways. One Korean friend of mine made so many loud noises that he had half a restaurant looking at him when he first got to the U.S.