Z Visa and temporary residence in China considering my medical circumstances

Hi,

I was hired to work in China this August, 2016. Last week, I received an official communication that I was hired and list of requirements were sent to me. I will be teaching in High School in an International Education Program attached to Public High School.

I received my contract yesterday from my employer and I believe they are now processing the invitation and all the documents needed for my Z type application.

Now, I would like to ask of my chance to acquire Z type and temporary residence in PRC considering my medical circumstances.

Just yesterday I underwent a Hepa B test (my first time) and test result showed Hepa B - REACTIVE/positive. I went to a private doctor to check my liver function. He said my liver is healthy and the virus is INACTIVE and I don't have any complication which may hinder me in my future job. The rest of the tests are perfectly fine.

Shall I continue processing my Z type? I am afraid I'll get denied. THANK YOU and God bless.