Prepare the Chicken: On a large cutting board, lay down a piece of plastic wrap. Pat the chicken breasts dry with paper towels, then place them on the plastic wrap. Cover with another piece of plastic wrap and gently pound each chicken breast to an even thickness of ¼–½ inch.
Season the Chicken: Peel off the top layer of plastic wrap and evenly sprinkle salt, pepper, and garlic powder on both sides of the chicken breasts.
Dredge the Chicken: Lightly coat the chicken breasts in flour, making sure each side is evenly covered.
Sear the Chicken: Heat the butter and olive oil in a large skillet over medium heat. Once hot, add the chicken and cook for 5 minutes on each side, until golden brown.
Finish Cooking the Chicken: Flip the chicken and reduce the heat to medium-low. Cover with a lid and cook for an additional 10-12 minutes, or until the internal temperature reaches 165°F. Transfer the cooked chicken to a plate and set aside.
Deglaze the Pan: In the same skillet, pour in the chicken broth and lemon juice. Let it simmer for about a minute, scraping up the flavorful brown bits from the bottom of the pan.
Combine and Simmer: Stir in the lemon zest and slowly pour in the cream, whisking everything together until smooth. Once combined, return the chicken to the pan. Reduce the heat to low and let the sauce gently simmer for about 10 minutes until the cream thickens up a bit.
Serve immediately and enjoy!