Tottori Prefectural Kosei Hospital is listed on the US Embassy website.
Website: http://www.pref.tottori.lg.jp/kouseibyouin/
Address: 150 Higashish...
Category:Listed on US Embassy site
This is a map of hospitals and clinics in Japan, that are English-speaker friendly. An increase in foreigners is anticipated with the 2020 Tokyo Olympics, and the passage of the new immigration law. Plan for the best, but prepare for the worst. You could get sick in a country where the majority of people won't understand what you are saying.