Preheat the oven to 450 degrees F (230 degrees C).
Cut carrots and parsnips into 2-inch matchsticks about 1/4-inch thick. Toss with olive oil. Season with salt and pepper and toss again. Spread carrots and parsnips in a 10x15-inch baking dish.
Roast in the preheated oven, stirring every 15 minutes, until browned, 40 to 45 minutes.
Combine butter, shallot, chives, rosemary, thyme, and garlic in a small bowl. Add to hot vegetables and toss to coat.
