One Pan Mushroom Chicken (keto + low carb)

Name: One Pan Mushroom Chicken (keto + low carb)
Prep time: 5 min
Cook time: 20 min
Total time: 25 min
Cuisine: American
Ingredients: 1 pound boneless skinless chicken breasts (pounded to an even thickness); 1 teaspoon Italian seasoning; salt and pepper (to taste); 1 tablespoons butter; 2 tablespoons butter (divided); 1 teaspoon minced garlic; 1 8 ounce package mushrooms, thinly sliced; 1/2 cup white cooking wine (or chicken broth); 1/4 cup heavy cream; 2 slices Swiss cheese (halved)