Do HF (13.56MHz) RFID readers need government approval?
There are no global regulations, each country specifies their own regulations and requirements.

The standard for 13.56 MHz RFID is No.214/DIRJEN/2005. This lists:
13.567 MHz field strength 65 microvolts/meter at 10 meters
Transmission power &lt; 10mW

read: III. China RFID Regulatory requirements