Pound out the pork chops to 1/4 inch thickness. Press 2 sage leaves into one side of each each of the pork chops. Mix the flour, kosher salt and ground black pepper in a large, shallow bowl or plate. Add the pork chops to the flour, one at a time, and flour each pork chop, gently turning on each side so the sage leaves stay on the pork chop. Gently tap off the excess flour.
Heat a large skillet on medium high. Melt 1 tablespoon of butter with 1/2 tablespoon of the oil. Place 2 of the pork chops in the skillet and cook for 3-5 minutes on each side, or until golden browned. Remove from the pan and set aside. Add 1 more tablespoon of butter and the remaining oil. Cook the remaining 2 pork chops and place with the other two cooked pork chops.
Wipe out any burned or really crispy bits out of the pan. Melt 1 tablespoon of the butter in the pan over medium high heat. Add the wine and capers and cook until reduced by half. Add the chicken stock, lemon juice and a few lemon slices and bring to a boil then add the remaining tablespoon of butter and stir, cooking for 2-3 minutes or until sauce thickens slightly. Add the pork back to the pan and warm in the sauce. Garnish with chopped parsley.
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