Chinese names are the other way round. The surname comes first. W can't really translate the Chinese sentence properly. The word you are looking for is: "the other way round"

"the other way round" (UK), "the other way around" (US), or "reversed" are all OK. You can also say Chinese names put the surname first. Or: Chinese names put the family name first. You can't use upside-down in this context. Upside-down means the top is the bottom and the bottom is the top.

Perhaps you mean... Chinese name is the reverse of English name. OR Chinese name is formed by reversing English name.