If any chicken breasts are thick, place them between plastic wrap and gently pound to an even 1/2-inch thickness; season both sides with salt and pepper.
Set up three shallow dishes: one with the flour, one with the eggs beaten with the water, and one with the breadcrumbs mixed with garlic powder, paprika, and grated Parmesan.
Dredge each breast in flour, shaking off excess, then dip into the egg mixture and press into the breadcrumb mixture to coat completely.
Let the breaded cutlets rest on a plate for about 10 minutes to help the coating set.
Heat about 1/4 inch of vegetable oil in a large skillet over medium-high heat until shimmering but not smoking.
Fry the cutlets in batches for 4–5 minutes per side, or until golden brown and an instant-read thermometer inserted into the thickest part reads 165°F (75°C).
Transfer cooked cutlets to a wire rack set over a baking sheet to drain briefly before serving.