Cut 1 medium lemon into wedges and finely grate 1 3/4 ounces Parmesan cheese (about 1 cup).

In a large shallow bowl, combine 1 cup all-purpose flour, 1/2 teaspoon kosher salt, and 1/2 teaspoon black pepper. Whisk 2 large eggs with a fork in a second large shallow bowl until broken up with no streaks of egg white. Stir 1 1/2 cups panko breadcrumbs and the Parmesan cheese together in a third large shallow bowl.

Cut 2 boneless, skinless chicken breasts in half horizontally so you end up with 4 thin pieces of chicken. Working with 1 piece of chicken at a time, place in a large zip-top bag and pound with a rolling pin or the flat side of a meat mallet until 1/4-inch thick. Set aside and repeat with the remaining 3 pieces.

Working with 1 piece of chicken at a time, dredge in the flour mixture, then the eggs, and finally the breadcrumb mixture, gently pressing the breadcrumbs into the chicken so they stick. Place on a large plate or baking sheet.

Heat 2 tablespoons olive oil in a 10-inch or larger skillet over medium-high heat until shimmering. Working in batches if needed, add the breaded chicken cutlets in single layer and cook until cooked through and lightly browned on both sides, 4 to 5 minutes per side.Transfer the chicken onto a paper towel-lined plate. Repeat cooking the remaining chicken if needed, adding 2 tablespoons olive oil to the pan as needed. Serve with lemon wedges.