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Most healthcare systems are within national borders, unfortunately, so if you're truly looking for something international in healthcare, it may be a good idea to focus on multinational corporations in health-related fields.
That said, there must be a demand for bilingual healthcare administrators wherever that second language is spoken, so I would focus your search geographically where there are large populations of Chinese speakers (or if in China, large populations of English speakers). You may want to look into training in healthcare administration as well. As I'm sure you know, healthcare is a very specialized place to work... which is often very particular in hiring demands, unfortunately.