Season the chicken breasts on both sides with salt and pepper.
In a large skillet over medium-high heat, melt 2 tablespoons of butter. Add the seasoned chicken breasts and cook for about 5-6 minutes on each side or until golden brown and cooked through. Remove the chicken from the skillet and set aside.
In the same skillet, add the remaining 2 tablespoons of butter and the minced garlic. Sauté for about 1 minute, or until fragrant.
Pour in the chicken broth, scraping up any browned bits from the bottom of the pan. Bring to a simmer.
Lower the heat and stir in the heavy cream, lemon zest, lemon juice, and thyme. Simmer for an additional 4-5 minutes until the sauce thickens slightly.
Add the seared chicken back into the skillet, coating it well with the creamy lemon sauce. Let it simmer for another 2-3 minutes to warm through.
Adjust seasoning with salt and pepper if necessary.
Plate the chicken on a bed of rice or pasta, spoon the creamy lemon sauce generously over the top, and garnish with freshly chopped parsley for a pop of color.