01 - Place chicken breasts between two sheets of plastic wrap and pound to an even ½-inch thickness using a meat mallet. 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 eggs beaten together with 2 tablespoons of water, and the third with Romano cheese thoroughly mixed with breadcrumbs.
03 - Dredge each seasoned chicken breast in flour, shaking off any excess. Dip into the egg wash, allowing the surplus to drip off, then firmly press into the Romano-cheese and breadcrumb mixture, ensuring an even, adherent coating on all sides.
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 slightly thickens and becomes glossy.
06 - Return the chicken cutlets to the skillet and spoon the lemon-butter sauce over each piece. Cook for 1 to 2 minutes to gently reheat through. Sprinkle generously with chopped fresh parsley and serve immediately, garnished with additional lemon slices if desired.