Chicken Francese

Name: Chicken Francese
Ingredients: 1/2 cup all-purpose flour; 1 teaspoon kosher salt, plus more to taste; 1/2 teaspoon freshly ground black pepper, plus more to taste; 5 tablespoons unsalted butter, chopped into tablespoons, divided; 1/2 lemon, sliced into very thin wheels (use the other lemon half for juice); 2 boneless, skinless chicken breasts, halved horizontally; 3/4 cup dry white wine; 3/4 cup water; 1/4 cup freshly squeezed lemon juice; 4 tablespoons vegetable oil (or another high-heat, neutral-flavor oil), divided; 2 tablespoons barely chopped parsley