Preheat the oven to 250 degrees. Place a cooling rack over a rimmed baking sheet.
Cut the chicken breast halves into even cutlets.
Place the flour in a bowl or shallow pan such as a pie plate. Add 1/2 teaspoon salt and freshly ground black pepper.
Place the eggs in a bowl or shallow pan. Add 1/4 teaspoon salt and freshly ground black pepper.
Combine the panko, Italian breadcrumbs, Parmesan cheese and lemon zest in a bowl or shallow pan. Add 1/4 teaspoon salt and freshly ground black pepper.
Working with one cutlet at a time, dredge each of them in the flour, shaking off the excess.
Dip each of the chicken cutlets in the egg, allowing the excess to drip off then place in the breadcrumb combination, coating each chicken cutlet well. Place each cutlet on a baking sheet or another flat surface as you work.
Heat the olive oil in a large nonstick skillet over medium-high heat. Place 2 of the cutlets in the hot oil. Cook 3-4 minutes on each side or until cooked through to 165 degrees in the center, adjusting the heat as necessary so the coating does not burn. Place the cutlets on the prepared rack/baking sheet and place in the oven to keep warm.
Repeat with the other two cutlets.
TO SERVE: Place a handful of fresh arugula on a plate top with chicken and tomato salad. Serve lemon wedges on the side.