**Prepare the Chicken:**
Pat the chicken breasts dry with paper towels. In a shallow dish, combine the flour, garlic powder, salt, and pepper. Dredge the chicken in the mixture, shaking off any excess.
**Cook the Chicken:**
Heat olive oil in a large skillet over medium heat. Add the chicken and cook for 4-5 minutes per side, or until golden brown and cooked through. Remove from the skillet and set aside.
**Make the Sauce:**
In the same skillet, melt the butter. Add the minced garlic and sauté for 1 minute, until fragrant. Stir in the chicken broth, heavy cream, lemon juice, and lemon zest. Bring to a simmer, whisking to combine.
**Thicken the Sauce:**
Stir in the Parmesan cheese and let the sauce cook for 2-3 minutes, or until slightly thickened. Season with additional salt and pepper to taste.
**Combine Chicken and Sauce:**
Return the chicken to the skillet, spoon the sauce over the top, and simmer for 3-5 minutes to meld the flavors.
**Serve:**
Garnish with chopped parsley and serve warm.