Season 1½ pounds boneless skinless chicken breasts with salt and pepper to taste, dip chicken ½ cup flour until fully coated.
Heat a large pan to medium high heat. Add 2 tablespoons butter and 1 tablespoon olive oil. Add chicken breasts and cook 3-5 minutes per side or until golden. Remove from pan and set aside.
Add 3 cloves minced garlic into the same pan and cook for 30 seconds or until fragrant. Add 1 cup chicken broth and simmer for 1 minute, scrapping down the sides of the pan. Add 1 cup heavy whipping cream and let it cook for 2-3 minute or it starts to thicken.
Return chicken to the pan, and sprinkle with juice of 1 lemon. Season with more salt and pepper to taste. Sprinkle chopped fresh parsley for garnish if desired.