01 - Place chicken breasts between two sheets of plastic wrap and pound with a meat mallet to an even 1/2-inch thickness. Season both sides generously with salt and freshly ground black pepper.
02 - Arrange three shallow dishes: the first with all-purpose flour, the second with beaten eggs whisked together with 2 tablespoons of water, and the third with Romano cheese thoroughly combined with breadcrumbs.
03 - Dredge each seasoned cutlet in flour, shaking off any excess. Dip into the egg wash, allowing the surplus to drip off, then press firmly into the Romano-cheese breadcrumb mixture, coating both sides evenly.
04 - Heat olive oil and 2 tablespoons of unsalted butter in a large skillet over medium heat. Working in batches if needed, add the breaded cutlets and cook for 3 to 4 minutes per side until deeply golden and cooked through to an internal temperature of 165°F. Transfer to a warmed plate and tent loosely with aluminum foil.
05 - Carefully pour off excess oil from the skillet. Add the fresh lemon juice and lemon zest to deglaze the pan, scraping up any fond from the bottom. Stir in the remaining 2 tablespoons of butter and simmer gently for 1 to 2 minutes until the sauce lightly thickens.
06 - Return the chicken cutlets to the skillet, spooning the lemon-butter sauce over each piece. Cook for 1 to 2 minutes to heat through. Garnish with chopped fresh parsley and additional lemon slices, then serve immediately.