Clean and thoroughly dry the chicken breasts then place each between two pieces of wax paper. Using a meat mallet or the back of a skillet, pound the chicken so that it is about 1/4-inch thick.
Set up a breading station by placing the flour in one large, shallow dish. Crack the eggs into a second large, shallow dish and whisk them. Place the breadcrumbs in a third large, shallow dish. Season the flour, eggs and breadcrumbs with salt and pepper.
Thoroughly dry off each chicken bread then coat it first in the flour, then in the eggs and then in the breadcrumbs, pressing the breadcrumbs into the chicken until they've adhered to the eggs. Repeat the breading process with the remaining three chicken cutlets.
Line a sheet tray or plate with paper towels. Heat two large sauté pans over medium low heat. Add enough olive oil to each pan so that it's thoroughly coated. Test the hotness of the oil by dipping a small corner of one of the breaded chicken cutlets into the pan. The oil should sizzle instantly. If it does not, allow the oil to continue heating before you begin cooking the chicken. Once the oil is hot enough, add two chicken cutlets to each pan. Cook them for several minutes on one side until they're golden brown, then flip them once and continue cooking until the second side is browned and the chicken is fully cooked.
Transfer the cooked chicken cutlets from the pans onto the paper towel-lined baking sheet and immediately season them with salt.