You can go to Zhanjiang medical related network, which has this notice on it. You have to download an application form for medical insurance in different places, and then you have to apply to the medical insurance bureau for approval, which is more troublesome. For details, please contact Zhanjiang Medical Insurance Office at 0759-3368593.
Further reading: How to buy insurance, which is good, and teach you how to avoid these "pits" of insurance.