Without the luxury of actually seeing the car, what you described sounds like a broken cv joint on one of the half shafts. When one side can spin freely, the other wheel won't drive the car, and the freely-spinning side will make the same buzzing sound as if you tried to shift into park while the car was still moving. If you shift to neutral first, and wait about 15 seconds for the spinning gears to slow down, it should go into park with no or little noise, but that will not hold the car from rolling like park normally does.
New cv joints are fairly expensive, but it is customary to install a remanufactured half shaft, not just the joint. Half shafts for common car models have come down a real lot in cost. Some are as low as 40 bucks.
Monday, September 9th, 2013 AT 6:57 PM