With a mandoline or vegetable peeler, cut carrot into long, thin strips. In a shallow bowl, whisk maple syrup, paprika, garlic powder, onion powder, salt and liquid smoke. Dip carrot slices into syrup mixture, allowing excess to drip off.
In a large skillet, heat oil over medium heat. Cook carrot slices in batches until browned, 4-6 minutes, turning once.