Mix together the salt, ginger, pepper, mustard and 1 teaspoon sugar in a small bowl. Sprinkle the pork chops with the spice mix. Rub on both sides.
Heat the butter and oil in large, heavy-bottomed skillet over medium-high heat. Once the butter has melted, add the pork chops. Cook on one side until deep brown on the bottom, 4 to 5 minutes. Flip and cook until the internal temperature reaches 140 degrees F, another 3 to 4 minutes. Remove the pork chops to a plate to rest.
Meanwhile, pour the ginger beer into a small skillet and bring to a simmer over medium heat. Stir in the mustard and the remaining 3 tablespoons sugar and let reduce until it is thickened and combined, about 5 minutes. Pour the sauce over the pork chops, then sprinkle with the parsley and serve!