Season pork chops on both sides with salt and pepper. Dust with flour, shaking off any excess.
Heat olive oil in a large skillet over medium-high heat until hot. Add pork chops in a single layer and cook until browned, about 4 minutes; flip and cook 4 minutes more, or until browned and just cooked through. Transfer to serving platter and tent with foil.
Add wine, lemon juice, and capers to skillet; bring to boil. Cook and stir until sauce has thickened, scraping up any browned bits. Remove from heat, add butter and stir to melt; spoon sauce over pork chops. Garnish with parsley and lemon slices if using and serve immediately.