Preheat oven to 400 degrees.
Heat 2 tablespoons of olive oil in an ovenproof skillet over medium heat. Sprinkle salt and pepper on both sides of pork chops; add to skillet.
Saute until golden brown, about 2 minutes; flip. Cook 2 minutes more, then carefully place the pan in the oven.
Roast until meat is cooked through and registers 155 degrees on an instant-read thermometer, about 5 minutes. Transfer to a platter.
Meanwhile, in a large saucepan, heat remaining 2 tablespoons olive oil over medium heat; add onion. Saute over medium heat until translucent and beginning to brown, about 6 minutes.
Add apples; saute 4 minutes more.
Add wine, raisins, ginger, mustard, and cayenne. Stir well to combine; cover.
Continue cooking, stirring occasionally, until the apples are very tender but hold their shape- about 3 minutes. Remove from heat.
Season with salt and pepper, and serve over pork chops.