Preheat the oven to 80 °C. Insert a baking tray in the middle.
Season the chicken breasts with salt and pepper. Sear in clarified butter on both sides for 1 minute. Immediately transfer to the baking sheet and cook in the oven for 1 hour.
For the sauce, finely chop the shallot and sauté in butter until translucent. Extinguish with vermouth and stock. Boil at high temperature to just over half. Gradually stir in the butter, swirling and turning the skillet until the sauce thickens. Season well with salt and freshly ground pepper. Add the wild garlic. Beat briefly with a hand mixer.
Cut the chicken breasts diagonally into narrow slices and arrange on hot plates. Cover with the hot sauce.
Serve with red Camargue rice or small roasted potatoes.
Tip: Instead of clarified butter, you can also use butter in most cases.