Vehicle air conditioning control method and vehicle air conditioning device

During control of an air-conditioning for a vehicle, when a torque to the engine is outputted that satisfies a total value of drive torques of the vehicle and an air-conditioning compressor, a minimum discharge capacity is set when fuel to the engine is cut. An assessment is made as to whether or not the discharge capacity needs to be changed from the minimum discharge capacity in accordance with the state inside the cabin. The discharge capacity is changed from the minimum discharge capacity to an upper limit capacity that is allowed during normal operation upon accessing that the discharge capacity needs to be changed from the minimum discharge capacity. After a predetermined time elapses following the changing of the discharge capacity, the discharge capacity is changed from the upper limit capacity to a discharge capacity that corresponds to the state inside the cabin.