Heat the oil in a large oven-proof skillet over medium-high heat. Pat the pork chops dry with paper towels and season with salt and pepper. Sear the pork chops for about 4 minutes on each side until nicely browned. Remove the pork chops to a plate.
Return the pan to the heat and add the onions. Sauté for about 4 minutes until golden brown and tender. Add the wine, and scrape the bottom of the pan to loosen any little browned bits on the bottom. Add the broth and bring to a simmer. Stir in the mustard and thyme and allow to simmer, adjusting the heat as needed, until the liquid has reduced by about 1/3 (don’t worry about precision here!). Return the pork chops to the skillet, along with any juices on the plate, and place in the oven. Cook the pork chops until they have reached an internal temperature of 140 F.
Remove the pork chops to individual plates or a serving plate and place the skillet back on the stove over medium-high heat. Stir in the cream and bring to a simmer again. Pour the sauce over the pork chops and sprinkle the top with parsley, if desired.
Notes
Serve the pork chops on their own, or over simply cooked pasta if you like. A simple salad is all this dish needs to become a full meal.