The parking is in front of the entrance. It is not exclusive to the visitors of the Palazzina but recently the city of Nichelino installed cameras to make it safer.
There is parking only a couple of hundred yards from the entrance ... Just make sure you don't go on a Monday !
There is a long straight road that runs up to the property as you approach the palace there are some shops and a restaurant with readily available parking. Enjoy
Get quick answers from Palazzina di Caccia di Stupinigi staff and past visitors.