Peel onions and cut them into rings. Clean, wash and cut the carrots into pieces. Wash the meat and dab dry. Heat the oil in a pan and fry the meat well all around.
Fry over medium heat repeatedly turning for a further 12 minutes. In the meantime, put carrots in boiling salted water and cook for 12-14 minutes. Season chicken with salt and pepper, remove from the pan and keep warm.
Add the onions to the frying fat and fry vigorously while turning. Deglaze with vinegar and 100 ml of boiling water, let braise for about 5 minutes. Season to taste with salt and pepper. Meanwhile wash the marjoram, dab dry, pluck leaves from the stalks, add half of the marjoram to the onions.
Drain the carrots. Cut the chicken meat open. Serve meat, onions and carrots garnished with remaining marjoram on plates.