As I know, the Chinese universities do have their own hotels in or nearby the campus. So, you could ask your friend whether a hotel is available there. If not, you could consider the Zhangzhou Hotel or the Overseas Chinese Hotel located at the city center. And the fare is about 200RMN to 400RMB per night.

I have a question about teaching English in the area of Fujian, Xiamen how could I find out this information?

Visit the websites of colleges and universities in Xiamen or search some info online about language schools. It is not hard to find. Contact them through email or just make a phone to see what is their requests. Hope it make sense.