Set up three shallow dishes: one with flour mixed with 1 teaspoon salt, 1/2 teaspoon pepper, and garlic powder; one with beaten eggs and milk; and one with breadcrumbs mixed with Parmesan and remaining salt and pepper.
Pat the chicken cutlets dry with paper towels and season both sides lightly with additional salt and pepper.
Dredge each cutlet first in flour, shaking off excess, then dip in egg mixture, and finally coat thoroughly with the breadcrumb mixture, pressing gently to adhere.
Heat oil in a large skillet over medium-high heat until shimmering but not smoking (about 350°F).
Working in batches to avoid crowding, fry the cutlets for 3-4 minutes per side until golden brown and cooked through (internal temperature of 165°F).
Transfer cooked cutlets to a paper towel-lined plate to drain, and serve immediately with lemon wedges.