Preheat oven to 275 and line sheet pan with parchment paper.
Place each chicken breast between 2 sheets of parchment paper and pound to 1/4 inch thick. Sprinkle both sides with salt and pepper.
Mix the flour, 1 teaspoons salt and 1/2 teaspoons pepper in shallow plate. In a second plate, beat the eggs with 1 Tbls. water. Place the breadcrumbs on a third plate.
Dip each breast first in the flour, shake off the excess and then dip in egg and then bread crumb mixture.
Heat 2 Tbls. olive oil in large saute pan over medium heat. Add 2 chicken breasts and cook for 2-3 minutes on each side until browned. Place them on lined pan and place in oven while you cook the rest of the chicken. Heat more olive oil in saute pan and cook the second 2 chicken breasts. Place them on the same lined pan and place in oven for 5-10 minutes while you make the sauce.
For the sauce, wipe out the saute pan with a dry paper towel. On medium heat, melt 1 Tbls. of the butter and then add the lemon juice, white wine, the reserved lemon halves, 1/2 teaspoons salt and 1/4 teaspoons pepper.
Boil sauce over high heat until reduced by half which will be about 2 minutes. Remove from heat and add remaining 2 Tbls. butter and swirl to combine. Discard the lemon halves. Serve one chicken breast on each plate and spoon on the sauce with a sprinkling of fresh parsley.