Wash the broccoli and remove the florets from the stems. Peel the stems and chop them smaller if necessary. Peel and finely dice shallot and garlic. Pluck thyme leaves from the stems. Mix parmesan and thyme on a flat plate. Whisk the egg in a deep plate.
Season meat on both sides with salt and pepper. Turn the cutlets in the egg first, cover with the parsley leaf and turn in the parmesan mixture. Heat the oil in a pan and fry the meat for about 5 minutes on each side. Remove and keep warm. Meanwhile cook the pasta in boiling salted water for about 8 minutes. 5 minutes before the end of the cooking time, add broccoli to the pasta water and cook it. Sauté the shallot and garlic in the cooking fat. Deglaze with broth. Stir in cream and lemon peel. Bring sauce to the boil and season with salt, pepper and sugar. Reduce slightly over medium heat. Drain pasta and broccoli, drain and mix with the sauce.
Sauté the shallot and garlic in the cooking fat. Deglaze with broth. Stir in cream and lemon peel. Bring sauce to the boil and season with salt, pepper and sugar. Reduce slightly over medium heat. Drain pasta and broccoli, drain and mix with the sauce. Serve the meat with pasta, broccoli and sauce. Garnish with a slice of lemon