Peel the zucchini with a vegetable peeler until the tiniest bit is left.
In a large nonstick pan, heat butter and olive oil at medium-low heat until melted. Be careful not to overheat or else the butter will burn.
Add garlic, then add zucchini. Toss lightly for about 1-2 minutes.
Add salt and pepper, toss a couple times more, and add to the serving plate.
Immediately add the tomato slices to the pan. Keep the tomatoes sliding on the pan and cook for about a minute on each side until they're golden brown on each side. Place on the zucchini pasta, add parmesan cheese, and enjoy!