Thinly sliced chicken breast cooks quickly ... Beat the eggs in a shallow dish or plate that's big enough to hold one cutlet.
Transfer to a plate. Reduce the heat to low ... Preheat the grill to its hottest setting. Top the chicken and sauce with the sliced mozzarella. Sprinkle with ground black pepper.
Cook chicken until well browned on both sides, 6-8 minutes per side. Transfer to a plate and repeat until all chicken is browned. Add shallots to pot and cook, stirring occasionally, until tender ...
Transfer the cooked chicken slices to a plate. Add the remaining oil to the pan and fry the onions for 3 minutes. Cover with a lid, lower the heat and cook for another 10 minutes to soften.