Clean, wash and quarter the pointed cabbage and cut out the stalk. Cut the pointed cabbage into strips. Peel, wash and finely chop the carrots. Peel shallots and halve them as desired.
Wash the meat, dab dry and season with salt and pepper. Heat oil in a pan and fry the meat in it for 5-6 minutes on each side. Remove from the pan and keep warm. Fry the shallots in the frying fat, sprinkle with sugar and let it melt.
Deglaze with orange juice and let it caramelize. Add pointed cabbage and carrots and mix in. Let braise for 6-8 minutes. Season to taste with salt and pepper. Arrange pork chops and vegetables on a plate and serve garnished with orange slices as desired.