Use 4 chicken cutlets or 2 chicken breasts cut lengthwise down the center. If they are not uniform in thickness use a meat mallet or rolling pin. This was they cook evenly and thoroughly without drying out.
Season the cutlets with the salt, pepper, and Italian seasoning on both sides.
Then dredge in the flour, shaking off any excess. Cover both sides of each piece of chicken.
Heat 1 Tbsp of butter and the olive oil over medium heat in your skillet.
Add your chicken pieces making sure not to overcrowd them. You can prepare them in batches if necessary. Cook them for approx. 4-5 minutes on each side. They should reach an internal temp of 165°F and be a golden brown color.
Remove them from the pan, place on a plate and set aside while preparing the sauce.
Now, in the same pan you'll add in the other tablespoon of butter and the garlic. Sautéing until fragrant. Only takes about 30 seconds.
Pour the lemon juice and chicken broth in with the garlic. As this is beginning to simmer, deglaze the pan scraping any thing stuck on the bottom.
Now that it has started to simmer, stir in the heavy cream and any salt/pepper needed to taste.
Allow this to simmer for a couple more minutes as the sauce begins to thicken. Place the chicken back in the skillet for a couple minutes to warm back.
The sauce should be thickened after 4 or 5 minutes.
Serve this over mashed potatoes, rice, or riced cauliflower, or pasta. Garnish with your freshly chopped parsley and lemon slices.