Prepare the Chicken:
Pat the chicken breasts dry and season both sides with salt and pepper.
Sear the Chicken:
In a large skillet over medium-high heat, add the olive oil and 2 tbsp of butter. Once the butter is melted and sizzling, add the chicken breasts in a single layer.
Sear the chicken for 4-5 minutes per side, or until golden brown and cooked through (internal temperature should reach 165°F). Remove the chicken from the skillet and set aside.
Make the Garlic Butter Sauce:
In the same skillet, lower the heat to medium and add the remaining 2 tbsp of butter. Add the minced garlic and sauté for about 1 minute until fragrant.
Add the chicken broth or wine, scraping any browned bits from the bottom of the skillet. Let it simmer for 2-3 minutes to reduce slightly.
(Optional) Stir in the heavy cream for a richer, creamy sauce.
Return the Chicken:
Place the chicken back in the skillet and spoon the garlic butter sauce over it. Add fresh parsley and thyme or rosemary if using. Simmer for another 2 minutes to heat everything through.
Serve:
Transfer the chicken to plates, drizzle with extra sauce, and serve with lemon wedges on the side.