In a shallow bowl, mix the flour, salt, and pepper. Dredge each chicken piece in the flour mixture, coating both sides.
In a large skillet, heat the olive oil over medium heat. Add the chicken and cook for 6–8 minutes per side, or until golden brown and cooked through. Transfer to a plate and set aside.
In the same skillet, melt the butter. Add the garlic and sauté for 30 seconds until fragrant.
Pour in the chicken broth and lemon juice, scraping up any browned bits from the bottom of the pan. Stir in the capers and simmer for 2–3 minutes.
Reduce the heat to low and stir in the heavy cream. Simmer for another 1–2 minutes until the sauce slightly thickens.
Return the chicken to the skillet and spoon the sauce over the top. Simmer for 1–2 minutes more to heat through.