2. In a large bowl, toss the halved baby potatoes and cut carrots with olive oil, thyme, rosemary, salt, and pepper.
3. Spread the seasoned potatoes and carrots onto a rimmed baking sheet in a single layer and roast for 20 minutes.
4. While the initial roasting is underway, toss the trimmed and diced zucchini with the remaining olive oil and a light seasoning of salt.
5. After 20 minutes, remove the baking sheet from the oven and add the zucchini and minced garlic to the mix. Toss everything together to combine.
6. Return the baking sheet to the oven and continue roasting for an additional 20 minutes, or until all the vegetables are tender and slightly browned.