Step 1

Preheat the oven to 400°. Season the pork chops on both sides with salt and pepper. In a large skillet, heat half of the oil until shimmering. Add the pork chops and cook over moderate heat until golden, turning once, 8 minutes. Transfer the meat to a baking sheet and roast until cooked through, about 10 minutes.

Step 2

Meanwhile, pour off the fat from the skillet. Add the remaining oil and heat until shimmering. Add the shallot and cook over moderately high heat until softened, 3 minutes. Add the vinegar and cook until nearly evaporated, about 1/2 minute. Add the stock and cook until reduced by half, about 2 minutes. Add the cream and cook over moderately high heat until slightly reduced, about 2 minutes. Add the mustard and parsley. Season with salt and pepper. Transfer the pork to plates and spoon the sauce on top.