Chicken Marsala

Name: Chicken Marsala
Prep time: 15 min
Cook time: 30 min
Total time: 45 min
Cuisine: Italian
Ingredients: 1½ pounds boneless skinless chicken breasts, (pounded ¼-in (6-mm) thick (see note), or chicken tenderloins); 3 tablespoons all-purpose flour; Salt; Freshly ground black pepper; 1 tablespoon olive oil; 3 tablespoons unsalted butter, (divided); 1 (8-oz) package pre-sliced bella or button mushrooms; 3 tablespoons finely chopped shallots, (from 1 medium shallot); 2 cloves garlic, (minced); ⅔ cup chicken broth; ⅔ cup dry Marsala wine; ⅔ cup heavy cream; 2 teaspoons chopped fresh thyme; 2 tablespoons chopped fresh Italian parsley, (for serving (optional))