Season both sides of the chicken breasts with salt, pepper, and Italian seasoning.
In a large skillet over medium heat, add olive oil and warm it before placing in the seasoned chicken breasts. Cook until golden brown on both sides.
Once the chicken is cooked through and removed from the skillet, add flour to the drippings and whisk to form a roux before gradually adding chicken broth.
Stir in cream of chicken soup, sour cream, milk, lemon juice, and spices until well combined and heated through.
Add the seared chicken back into the skillet with the sauce and simmer gently until everything is heated through and well coated.
Garnish with fresh parsley if desired before serving hot alongside your favorite sides.