Season the chicken breasts with salt and black pepper on both sides.
Dredge each piece of chicken in flour and shake off any excess.
Heat olive oil and 1 tablespoon of butter in a large skillet over medium-high heat.
Cook the chicken for 5 to 7 minutes per side until golden brown and the internal temperature reaches 165 degrees Fahrenheit. Remove from pan and set aside.
Lower the heat to medium and add the remaining 3 tablespoons of butter and minced garlic to the skillet, sautéing for 60 seconds.
Pour in the chicken stock to deglaze the pan, stirring to release the fond from the bottom.
Whisk in the heavy cream, lemon juice, and lemon zest; simmer for 3 to 5 minutes until the sauce thickens slightly.
Return the chicken to the skillet and spoon the sauce over the meat.
Garnish with chopped parsley and serve immediately.