Preheat oven to 350 degrees. Coat pork chops generously with mustard. Salt and pepper generously. Oil a 9-x-13-inch baking dish.
Heat oil in a large skillet over medium-high heat. Arrange chops in pan, and brown the meat. Turn to brown evenly. Transfer chops to prepared baking dish.
Bake in preheated oven for 20 minutes. Turn, and continue cooking for 20 minutes, or until desired doneness, or until reaches temp of 145 degrees. Cover with foil.
Meanwhile, melt butter over medium heat in the same pan used to cook the pork. Cook shallots, garlic and mushrooms in butter until soft. Stir in chicken broth, mustard, and cream, and cook until volume of liquid is reduced by half.
Place chops on a serving dish. Spoon sauce over meat, and serve with rice. Makes 6 servings. Enjoy!