Season the veal on both sides with the salt and pepper and dredge in the flour, shaking off any excess. Transfer to a plate.
Heat 2 tablespoons of the butter and the oil in a 12-inch (30-cm) skillet over medium-high heat.
When the fat is hot, add the cutlets in batches. Don't crowd the skillet!
Sear the veal, turning once, until golden brown, about 1 1/2 minutes per side, 3 minutes total.
☞ TESTER TIP: If using chicken or turkey, cook until no trace of pink remains, about 3 minutes per side.
Transfer the cutlets to a platter, cover loosely, and repeat with the remaining veal. If necessary, add more butter and oil to the skillet.
Pour the wine into the skillet and cook over medium-high heat, scraping the browned bits, until reduced by half, about 3 minutes. Add the stock and lemon slices and bring to a boil.
Cook the sauce until reduced by half, about 8 minutes. Add the remaining 2 tablespoons butter, lemon juice, capers, and parsley, and season with salt and pepper. Turn off the heat and tilt the pan to swirl the butter until blended into the sauce.
Add the cutlets back to the skillet, turn to coat them with the sauce, and let them warm through.
Arrange the cutlets on a platter. Pour the remaining sauce over top and serve immediately.
Notes
Veal thickness—Pound your veal to an even thickness so that it cooks evenly. Or have your butcher do it for you.
Get your skillet hot—Make sure the butter is fully melted and the oil is hot before adding the veal to the skillet. This will promote browning.
Serving—Serve this immediately, as the coating will soften and become gummy if allowed to sit too long.