Flatten the chicken breasts with a meat mallet until they are about 1/4 inch thick.
This ensures even cooking and helps the meat absorb more flavors.
Combine the flour, salt, and black pepper in a shallow dish.
Dredge each chicken breast in the mixture, shaking off excess flour.
Heat the olive oil and 1 tablespoon of butter in a large skillet over medium-high heat.
Cook the chicken breasts for 3-4 minutes on each side or until golden brown.
Then, remove the chicken and set it aside.
In the same skillet, add chicken broth, lemon juice, and capers.
Bring to a boil while scraping up any browned bits from the pan, as they add rich flavor to the sauce.
Return the chicken to the skillet, reduce heat, and simmer for about 5 minutes.
Add the remaining tablespoon of butter and sprinkle with chopped parsley before serving.