Thinly slice the chicken breasts lengthwise to make thin chicken cutlets. You want THIN slices - ones you can almost see through! I get 3 to 5 thin slices from one chicken breast. Season the chicken all over with salt and pepper. Line a baking sheet with paper towels and place a wire rack on top.
Place the eggs in a shallow plate or bowl. Stir together the breadcrumbs and parmesan in another plate or bowl.
Dip each piece of chicken into the egg, then into the breadcrumbs, pressing gently so the crumbs adhere. I bread all the chicken pieces first, so I can cook them at one time.
Heat 1 to 2 tablespoons of olive oil in a large skillet over medium heat. I like to heat the oil for a good 5 minutes before adding the chicken. Watch the heat the entire time - if it seems to be too hot, make sure to lower it.
Add the chicken 2 to 3 pieces at a time. Cook on each side until deeply golden, about 3 to 4 minutes per side. This should cook the chicken the entire way through, but take the temperature to make sure it is 165 degrees F inside if you’re unsure. Remove each piece of chicken and place it on the wire rack. Repeat with remaining chicken.
To serve, thinly slice the chicken and top with the brussels slaw. Enjoy!