Sprinkle salt/pepper all over the chicken cutlets.
Dredge cutlets into the flour.
Meanwhile heat 2 T. oil in cast iron skillet over medium-high.
Sear chicken on both sides a few minutes and add 1 T. butter for 2 more minutes. This will help it brown.
Remove chicken to a plate.
Add 2 more Tablespoons oil to skillet with your mushrooms.
Allow them to cook without stirring for 5 mins.
Add the other 2 T. butter along with the shallots, garlic, salt/pepper.
Cook 5 minutes.
Add vinegar and cook 3 more mins.
Add the marsala and broth.
Let this simmer 10 minutes and add the cream.
Return the chicken to the skillet and cook it in the sauce 5-10 mins.
Top with parsley.