Pre-heat your oven to 375 F.
Pull the little leaves off of the fresh herb stems until you have about a tablespoon of them. Set them aside along with another few whole sprigs of the herbs.
Cut the carrots, turnips, parsnips, potatoes, squash, and celery (or celery root) into about 1-inch pieces. Cutting the vegetables the same size helps ensure they cook evenly.
Transfer the cut vegetables, along with the shallots and garlic, to a large baking pan. Drizzle with olive oil, season with Kosher salt and black pepper, sprinkle with the herb leaves and toss to combine. Place the whole herb sprigs in the pan with the veggies.
Roast for 45 minutes or until the vegetables are lightly browned and tender but not too soft.
Remove the whole herb sprigs from the pan and let the vegetables cool for 5 to 10 minutes before serving.