Start by seasoning the chicken breasts with a pinch of salt and pepper. Then, dredge each breast in flour, shaking off any excess.
In a large skillet, heat the olive oil and 2 tablespoons of butter over medium-high heat until shimmering.
Add the chicken to the sizzling skillet, cooking until browned on both sides and cooked through—about 4 minutes per side.
In the same skillet, add the chicken broth, lemon juice, and capers. Bring the sauce to a boil while scraping up the browned bits from the bottom of the pan.
Nestle the chicken back into the skillet with the sauce and let it simmer for an additional 5 minutes.
Stir in the remaining butter until melted, creating a creamy consistency.
Serve the chicken hot, garnished with freshly chopped parsley.
Notes
For a lighter flavor, you can omit the capers or substitute with green olives.