Season the chicken on both sides with salt and pepper.
Heat oil in a nonstick pan over medium heat. Saute the shallots, mushrooms, and garlic until mushrooms become soft and begin to brown. Stir in the flour. Then push the contents of the pan to one side and brown the chicken on both sides to golden brown.
Add Marsala wine and broth, bring to a low simmer until the chicken reaches an internal temperature of 160 degrees using a thermometer and the sauce reduces to a thickened creamy consistency.
Spoon the sauce over the chicken. Serve with bread. Garnish with parsley.