Clean the chanterelles, rinse briefly and pat dry well. Peel and finely dice the shallots. Heat the oil in a large pan. Fry the mushrooms for 4-5 minutes, turning them over. Fry the shallots briefly.
Sprinkle with 2 teaspoons of sugar and caramelise for 2-3 minutes while stirring. Deglaze with vinegar. Bring to the boil, season to taste with salt and pepper.
Sort the arugula, wash and drain well. Coarsely grate the parmesan. Arrange the ham flat on four plates, spread the mushrooms with vinaigrette and rocket on top. Sprinkle with some parmesan.
Add the rest of the Parmesan cheese. Baguette tastes good with it.