Heat 1 tablespoon of olive oil in a large oven-proof skillet. Season pork chops with ¼ teaspoon salt. Sear pork for 3 minutes, flip and cook another minute. Remove from pan and set aside.
Add remaining 1 tablespoon of olive oil, shallots, Brussels sprouts to pan with ¼ teaspoon of salt. Saute for 5 minutes. Stir in apple cider and Dijon mustard. Return pork to pan.
Transfer to oven and roast uncovered for 15-18 minutes or until pork is fully cooked.
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