Heat oven to 250°F. Place a metal rack on a rimmed baking sheet and place in oven to hold crispy cutlets warm once you begin cooking them.
Season chicken with salt and pepper on both sides.
Combine ground nuts, breadcrumbs, panko, citrus zest, thyme, cheese and parsley in a shallow dish. Arrange two more dishes with flour and eggs.
Heat a layer of oil about 1/8 inch deep in a large skillet over medium to medium-high heat. Coat chicken in flour, shake off excess, then egg and let excess drain off. Coat evenly and fully in breadcrumb mixture. Add chicken to oil in batches and cook 2-3 minutes on each side. Keep cooked cutlets warm in oven while you finish the rest.
Combine citrus sections with arugula and onions, and dress salad with lemon, EVOO, salt and pepper.
Serve cutlets with lemon wedges and salad alongside.