Preheat your oven to 425°F (220°C).
Place the potatoes, carrots, and zucchini on a large baking sheet.
In a small bowl, mix the olive oil, minced garlic, thyme, rosemary, salt, and pepper.
Drizzle the herb mixture over the vegetables and toss to coat evenly.
Spread the vegetables out in a single layer on the baking sheet.
Roast for 25-30 minutes, stirring halfway through, until golden and tender.
Garnish with fresh parsley before serving, if desired.