Do Actions on Google support Chinese?

Currently, Google Home (and the emulator) only support US English.

Presumably, after official support for the Google Home arrives in other countries and with other languages, Action support will as well.

Chinese (Traditional) has been added as one of the supported languages:

https://developers.google.com/actions/localization/languages-locales#chinese_traditional

As far as I know, Actions for Google Assistant are supported by multiple languages, with their own locales. Chinese, however, is not an option as of yet.

Here is a list of supported languages and locales.