Applying for a Z visa in China

I am an American and have a Bachelor's degree from a renowned college in the United States. Right after I graduated I studied in PRC for their Chinese program and have been teaching for weekend English classes (probably not reported by my employer to the Chinese officials) for a year. Now I wish to obtain a Z type for full-time teaching for perhaps only the near future. Is there anyway for me to do it? Does my 1-year teaching experience count? Any experience certificates do I need? Where are the places that also look for English teachers, in addition to the weekend language schools that are so often exploitive?