Preheat the oven to 400°. Season the pork chops with salt and pepper and dust with flour. In a skillet, heat the oil until shimmering. Add the pork and cook over high heat for 1 minute. Add the butter, reduce the heat to moderately high and cook, turning once, until the chops are browned on both sides, 8 minutes. Transfer the chops to a baking sheet and bake in the oven until an instant-read thermometer inserted at the thickest point registers 145°, about 7 minutes.