Step 1

Cut each chicken breast in half horizontally. Pound the chicken breasts lightly with a meat mallet for even thickness, about 1/2 inch thick. Season the breasts with kosher salt and freshly ground black pepper and set aside.

Step 2

Melt 2 tablespoons of butter over medium high heat in a large skillet and add the mushrooms. Sprinkle with a few pinches of kosher salt and cook for 3 minutes or until the mushrooms soften and brown. Transfer the mushrooms to a bowl.

Step 3

In the same skillet over medium-high, melt the remaining 2 tablespoons of butter with the canola oil. Add two of the chicken breasts to the skillet and cook until golden browned, about 5 minutes on each side. Transfer the chicken breasts to a plate and repeat with the other two breasts. Leave the browned fond and any residual goodness in the pan. Discard any burned bits and wipe out any extra dark spots of the pan.

Step 4

Remove the skillet from the heat. Carefully add the vermouth, lemon juice and lemon peel. Return to medium high heat and cook for 1-2 minutes, scraping the cooked bits from the bottom of the skillet. Add the cream and cook for a few more minutes for the sauce to thicken and reduce. Add the chicken and mushrooms back to the skillet, toss in the cream, and sprinkle with Parmesan cheese. Cook for 2 more minutes to warm the chicken and melt the cheese. Taste the sauce for seasoning and garnish with parsley. Serve with steamed rice, noodles, potatoes, or other vegetables.