Prepare the chicken breasts by slicing them into 1/2-inch thick cutlets and season with salt and pepper.
Dredge the chicken cutlets in flour, shaking off any excess.
In a large skillet, heat olive oil over medium-high heat. Once hot, add the chicken cutlets in a single layer.
Cook the chicken for about 3-4 minutes per side, or until golden and cooked through. Remove from the skillet and set aside.
Deglaze the skillet with white wine, scraping up any brown bits from the bottom.
Add lemon juice and capers to the skillet and bring the mixture to a simmer.
Finish the sauce by stirring in butter until melted and smooth.
Return the chicken to the skillet, spooning sauce over it to coat well.
Garnish with fresh parsley and serve immediately with your choice of sides.