I would like to know if my 7-year-old son can study in Shenzhen with L visa, and what we should do to get him a residence visa?

Please help. Chinese Embassy in Philippines do not want to issue Z visa for my son without the Visa Notification. But I have been here in Shenzhen for 3 years now, and the Shenzhen Department of Affairs said they only issue the Visa Notification one time to the working employee, and the dependents who will follow after that will only need to present the relationship certificates.

Therefore, my 7-year old son will come here on an L visa. I would like to know if he can study here, and what we should doto get him a residence visa oncehe arrive here in Shenzhen on an L visa. I would appreciate your response.