1. Preheat the oven to 375 degrees. Pierce the squash in several places with a sharp knife. Cover a baking sheet with foil, and place the squash on top. Bake for one hour, until the squash is soft and easy to cut with a knife. Remove from the heat, and allow to cool until you can handle it. Cut in half lengthwise, and allow to cool some more. Remove the seeds and discard. Scoop out the flesh from half of the squash, and place in a bowl. Run a fork through the flesh to separate the spaghetti-like strands. You should have about 4 cups squash. (Use some squash from the other half if necessary). Set aside the other half for another dish.
2. Heat the oil in a large, heavy nonstick skillet over medium heat, and add the garlic and bread crumbs. When they begin to sizzle and smell fragrant and the breadcrumbs are crisp ? that is, after about 1 minute ? stir in the squash and parsley, and season to taste with salt and pepper. Toss together over medium heat until the squash is infused with the garlic and oil and heated through, 6 to 8 minutes. Remove to a warm serving dish, top with freshly grated Parmesan and serve.