To make Swiss chicken enchiladas mexican recipe, first you need to prepare the ingredients. First, you'll need: 1 pound swiss chicken breasts, 2 tbsp. kosher salt, 1 cup shredded cheddar cheese, and 1 tablespoon melted butter. In a large skillet, heat the olive oil over medium-high heat. Add the chicken and cook until browned on both sides, about 5 minutes. Remove from the heat and add the onion and garlic. Cook until the onions are translucent, 3 to 4 minutes, stirring frequently. Stir in the cheese and 2 tablespoons chopped cilantro. Season to taste with salt and pepper. Spread the mixture evenly on the tortillas and top with cheese. Bake for 20 to 25 minutes or until heated through. Serve with guacamole.