Preheat oven to 350°F (180°C). Melt butter in a large skillet over medium heat. Sauté onion, squash and garlic until softened, 7 to 8 min. Stir in savory and thyme and season to taste with salt and pepper. Let cool.
In a large bowl, combine bread cubes, nuts, cranberries, parsley and squash mixture. In another bowl, whisk together eggs, cranberry sauce and broth, pour over bread mixture, season and gently toss. Transfer to a greased baking dish and bake until top is golden brown, about 40 min.