Place the chicken breasts between sheets of plastic wrap or parchment paper. Pound them to approximately ½ inch thickness. Pat dry with paper towels.
Add the eggs to a shallow bowl and beat until completely combined.
In a second shallow dish, mix the Parmesan cheese, panko breadcrumbs, garlic powder, onion powder, Italian seasoning, salt, and black pepper.
Dip one chicken breast into the beaten egg and let the excess drip away.
Transfer the chicken to the Parmesan mixture. Press the coating firmly onto both sides. Repeat with the remaining chicken.
Heat 1½ tablespoons of olive oil in a large skillet over medium to medium-high heat.
Add two pieces of chicken. Cook for four to five minutes without moving them, until the bottom is golden brown.
Flip the chicken carefully. Cook for another three to five minutes, or until golden and the internal temperature reaches 165°F.
Transfer the chicken to a plate. Add the remaining olive oil as needed and repeat with the remaining pieces.
Allow the chicken to rest for five minutes. Garnish with chopped parsley and serve with lemon wedges if desired.