How to Make It
Place 1 cutlet on top of a large piece of plastic wrap. Sprinkle with a few drops of water and cover with another piece of plastic wrap; pound chicken using a meat mallet, rolling pin, or heavy skillet, starting in the middle and working outward, until about ½ inch thick. Transfer to a baking sheet lined with parchment paper. Repeat with remaining cutlets and season with ½ teaspoon each salt and pepper.
Beat eggs with ½ teaspoon salt and ¼ teaspoon pepper in a shallow dish. Stir together panko, ½ teaspoon salt, and remaining ¼ teaspoon pepper in a separate dish. Working with 1 cutlet at a time, dip chicken in eggs and turn to coat, letting excess drip off. Dredge chicken in panko, pressing gently to adhere.
Fill a large heavy-bottomed skillet with ½ inch oil; heat over medium-high. (Drop a pinch of panko into oil— it will sizzle immediately when oil is hot enough.) Working in 3 batches, add chicken to hot oil. Cook, turning once and adjusting heat so oil is sizzling but not smoking, until golden brown and cooked through, about 3 minutes per side. Transfer cooked cutlets to a wire rack. Repeat with remaining chicken, adding oil to keep at ½-inch depth. Season with remaining teaspoon salt. Serve with lemon wedges.