Sprinkle pork chops evenly with salt and seasoned pepper; dredge in flour.
Cook pork in hot oil in a large skillet over medium-high heat 3 to 4 minutes on each side or until lightly browned. Remove from skillet; keep warm.
Add apples to skillet, and sauté for 5 minutes; add vinegar and broth, and cook, stirring often, 5 to 7 minutes, or until slightly thickened. Spoon over pork, and serve.