Begin by placing the chicken breasts between two pieces of plastic wrap. Using a meat mallet, gently pound them to an even thickness of about 1/2 inch. This ensures even cooking.
In a shallow dish, mix the flour with salt and pepper. Dredge each chicken breast in the flour mixture, shaking off any excess flour.
In a large skillet, heat 2 tablespoons of olive oil and 1 tablespoon of butter over medium-high heat until hot.
Add the chicken breasts to the skillet in a single layer and cook for about 4-5 minutes on each side until golden brown and fully cooked. Remove the chicken and set aside on a plate.
In the same skillet, add the chicken broth, lemon juice, lemon zest, and capers. Bring the mixture to a simmer, scraping up any browned bits from the bottom of the skillet for added flavor.
Allow the sauce to reduce slightly for about 3 minutes. Then, lower the heat and return the cooked chicken to the skillet, spooning some sauce over each piece.
Cook for an additional 2-3 minutes to warm the chicken through, allowing it to soak up the flavors.
Remove from heat, and finish with the remaining butter, swirling it through the sauce for a silky texture.
Serve the chicken piccata hot, garnished with fresh chopped parsley and with additional lemon wedges if desired.
Notes
Serve with additional lemon wedges for extra zing.