2 large boneless skinless chicken breasts (about 8 ounces each)
Kosher salt and freshly ground black pepper
1 large lemon
1/4 cup all-purpose flour
1 tablespoon olive oil
6 tablespoons unsalted butter
5 large cloves garlic, thinly sliced
1/2 cup dry white wine
1/4 cup brined capers, drained
1/4 cup flat-leaf parsley leaves, roughly chopped
Cut the chicken breasts in half lengthwise, making 4 roughly equal pieces; they should look like large chicken tenders. Place some plastic wrap under and over the chicken pieces. Pound the chicken, starting in the center and working your way to the edges, until the chicken is 1/4-inch thick and 6 to 8 inches long. Transfer to a wire rack. Repeat with the remaining chicken, one piece at a time. Liberally sprinkle with salt and pepper. Refrigerate the chicken cutlets uncovered for 1 hour.
Halve and juice the whole lemon.
Put the flour in a shallow bowl or plate. Dredge the chicken in the flour, shaking off any excess. Heat the oil in a large nonstick skillet over medium-high heat until very hot, about 1 minute. Add 1 tablespoon of the butter and melt. Working in 2 batches, cook the cutlets, adding another tablespoon of butter to the skillet between batches, until golden brown, about 2 minutes per side (it’s ok if the chicken is not completely cooked through, it will finish cooking in the sauce). Transfer the cutlets to a plate.
Reduce the heat to medium. Add the garlic and 1 tablespoon of the butter to the skillet and cook until the garlic is tender and fragrant, about 1 minute. Add the wine and cook until almost completely evaporated, about 4 minutes. Add the capers, 2 tablespoons of the lemon juice, 1/4 cup water and the cutlets with any accumulated juices and bring to a boil. Add the remaining 3 tablespoons butter. Turn the chicken to coat in the sauce and cook until the butter melts and the sauce thickens slightly. Garnish with chopped parsley and lemon slices if desired.