Inverter systems are designed differently from the traditional/legacy HVAC units. As long as the unit is turned on by the customer, the fan will continue to operate and blow air.
When set point is achieved, the internal expansion valve will be closing, blocking refrigerant supply to the units, thus reducing the load to compressor. But the fan will continue running all then time, until actively turned off by the user.
This is an internal logic of the HVAC system, and cannot be interfered with external control.