Pat dry the chicken breasts completely with paper towel and season both sides of each chicken breast with salt and pepper. Set aside for 5 minutes.
Heat oil in a large shallow saucepan over medium high heat for 2 minutes until the hot oil sizzles and shimmers. Sear the chicken for about 6-8 minutes per side (depending on the thickness) until golden brown and fully cooked through. The internal temperature for the chicken should reach 165F, as read on a meat thermometer. Remove the chicken from the pan and set aside on a plate.
In the same pan, sauté garlic over medium heat until fragrant, about 1 minute. Add flour and stir to cook for one minute. Stir in chicken broth and mix well until the sauce is smooth and uniform.
Whisk in cream, Parmesan, lemon juice, capers and Italian seasoning. Bring the sauce to a simmer and stir occasionally until thickened to desired consistency, about 4-5 minutes.
Return the chicken to the pan and toss well to coat with the sauce. Let the chicken cook with the sauce for another minute.
Garnish with lemon wedges and parsley. Serve immediately with a side pasta.
