Mix the apricot preserves, wine, and ground ginger together in a small bowl; set aside.

Season the pork chops with salt and pepper. Heat the olive oil in a skillet over medium high heat. Add the pork chops and cook until brown on each side, and no longer pink in the center, about 4 minutes per side. Remove chops from the skillet. Reduce heat to medium low. Using the same skillet, pour in the apricot preserves mixture and simmer until thickened, about 4 minutes. Return pork chops to the skillet, turning to coat each side in the sauce; cook 1 minute.