01 - Place chicken breasts between two pieces of plastic wrap and pound to ½-inch thickness using a meat mallet. Season both sides generously with salt and freshly ground black pepper.
02 - Arrange three shallow bowls: the first with all-purpose flour, the second with eggs beaten together with water, and the third with Romano cheese combined with breadcrumbs.
03 - Dredge each chicken breast in flour, shaking off any excess. Dip into the egg wash, then press firmly into the Romano-cheese breadcrumb mixture, ensuring an even, adherent coating on all sides.
04 - Heat olive oil and 2 tablespoons of butter in a large skillet over medium heat. Add the breaded cutlets in batches if needed, 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 plate and tent loosely with foil to keep warm.
05 - Pour off excess oil from the skillet. Add the fresh lemon juice and lemon zest to deglaze, scraping up any browned bits from the bottom of the pan. Stir in the remaining 2 tablespoons of butter and simmer for 1 to 2 minutes until the sauce slightly thickens.
06 - Return the chicken cutlets to the pan and spoon the lemon butter sauce over each piece. Cook for 1 to 2 minutes to heat through. Sprinkle with chopped fresh parsley, garnish with lemon slices if desired, and serve immediately.