Season the chicken breasts with salt and black pepper. Dredge each chicken breast in flour, shaking off any excess.
In a large skillet, heat 2 tablespoons of butter and 2 tablespoons of olive oil over medium-high heat.
Add the chicken breasts to the skillet and cook for 6-8 minutes per side, or until they are golden brown and cooked through. Ensure the internal temperature reaches 165°F (74°C). Once cooked, transfer the chicken to a plate and set aside.
In the same skillet, add the remaining 2 tablespoons of butter. Sauté the minced garlic until fragrant.
Pour in the chicken broth, lemon juice, lemon zest, and dried thyme. Stir well to combine.
If using heavy cream, add it to the skillet and stir. Allow the sauce to simmer for 5-7 minutes or until it thickens slightly.
Return the cooked chicken to the skillet, coating it with the lemon butter sauce. Cook for an additional 2-3 minutes, ensuring the chicken is heated through.
Garnish with chopped fresh parsley and serve the Lemon Butter Chicken over rice, pasta, or your preferred side dish.