Spiralize zucchini. Mince garlic. (No spiralizer? You can thinly slice the zucchini instead).
Melt 1 tablespoon butter in a saucepan over medium heat. Add zucchini and cook, stirring occasionally, until tender and heated through; about 3-5 minutes. Set aside.
Melt remaining 2 tablespoons butter in the saucepan. Add garlic and cook, stirring frequently, until fragrant; about 1-2 minutes. Whisk in flour until lightly browned, about 1 minute.
Gradually whisk in milk, thyme and oregano. Cook, whisking constantly, until incorporated, about 1-2 minutes. Stir in half and half and Parmesan and cook until slightly thickened, about 1-2 minutes. If the mixture is too thick, add more milk as needed; season with salt and pepper to taste.
Stir in zucchini and pasta and gently toss to combine. Serve immediately, garnished with parsley.