Heat 1 teaspoon of the oil in a small saucepan over medium heat.
Add the prepared pears, 1/2 teaspoon of the cinnamon, and the nutmeg.
Cook, stir, and mash the pears continuously, until the "sauce" is thick and the pears are tender. This will take about 7-9 minutes.
Remove the pan from the heat and stir in the vanilla. Allow to cool while you prepare the pork chops.
Heat 1 teaspoon of oil in a skillet over medium-high heat. Add the pork chops and cook them until well browned and cooked through, about 6 minutes on each side. Top with the sauce and cover for a minute to allow the sauce to warm.