Preheat oven to 425°F and line a large sheet pan with parchment paper.
In a large bowl, toss the potatoes, broccoli, and carrots with 2 tablespoons olive oil, half the garlic, and half the seasonings.
Spread vegetables on the sheet pan in a single layer, leaving space for the chicken.
Pat chicken thighs dry and rub with remaining olive oil, garlic, herbs, salt, pepper, and paprika.
Place chicken thighs skin-side up on the pan among the vegetables.
Roast for 30-35 minutes until chicken reaches 165°F internal temperature and skin is crispy.
Let rest for 5 minutes before serving.