Over medium high heat, heat 2 tablespoon cooking oil in a 12 inch cast iron skillet. As oil heats, swirl skillet at least once to make sure oil covers bottom of skillet.
Generously salt and pepper both side of pork chops. Add to skillet. Cook 5-7 minutes on one side. Turn over and cook 5-7 minutes on other side to create a golden brown sear. Pork should have an internal temp of 140-145° Fahrenheit. Remove pork chops from skillet, cover and keep warm.
Turn down heat. Carefully add garlic and white wine to skillet (there will be lots of steam and some spatter). Bring to a simmer while stirring to remove all browned bits from bottom of the skillet (deglaze the skillet). Let simmer 6-8 minutes until sauce is slightly thickened and reduced.
In a measuring cup, whisk together cream, mustard, horseradish, lemon juice, and oregano. Remove skillet from heat and whisk cream mixture into reduced sauce in skillet.
Return pork chops to skillet. Spoon sauce over chops and serve.