Foreigners holding permanent residency status in China generally do not need to apply for a work permit when working in China. Therefore, if you already have permanent residency in China, you do not need to apply for an A-class work permit. Chinese permanent residency allows foreign nationals to reside in China for an unlimited period of time and does not require a work permit for employment. So, the answer is no, because foreign nationals holding permanent residency in China already enjoy the right to work in China without a work permit.
