Work in two batches so you don't crowd the cutlets in the pan.
Place each chicken cutlet between 2 sheets of heavy-duty plastic wrap, and flatten to 1/4-inch thickness, using a rolling pin or flat side of a meat mallet. Sprinkle with 1 tsp. salt and 1/4 tsp. pepper.
Place flour in a shallow dish. Place eggs in another shallow dish. Stir together panko, peanuts, and remaining 1/2 tsp. salt and 1/4 tsp. pepper in a third shallow dish. Dredge chicken in flour, dip in eggs, and dredge in panko mixture, pressing to adhere.
Cook half of chicken in 1 Tbsp. hot canola oil in a large nonstick skillet over medium heat 3 minutes or until golden brown. Turn chicken, add 1 Tbsp. canola oil to skillet, and cook 3 minutes or until done. Place on a wire rack in a jelly-roll pan. Keep warm in a 200° oven. Repeat procedure with remaining chicken and canola oil. Serve with Squash Ribbon Salad.