Heat butter over medium heat and stir in garlic. Cook garlic, stirring for 3-4 minutes. The butter will become foamy and the garlic will brown and get crisp. Watch closely as the butter foams and then subsides as the butter will be browning at this point. When it's just lightly golden, pour the butter and garlic into a small bowl.
Return pan to heat and cook mushrooms in the bit of butter remaining in the pan until tender. Stir in zucchini and saute for 2 minutes or just until tender and hot. Remove from heat.
Pour browned butter and garlic over the noodles and toss. Season to taste with salt and pepper and parmesan cheese.