Start by bringing a large pot of salted water to a rolling boil. The salt helps season the carrots from the inside out. Add your cut carrots and cook for 12-15 minutes until they're fork-tender but still hold their shape. You want them soft enough to smash easily but not mushy. Test with a fork - it should slide in easily but meet slight resistance.
Preheat your oven to 425°F while the carrots cook. Line your baking sheet with parchment paper for easy cleanup and better browning. Drain the carrots thoroughly and let them cool for 2-3 minutes. Place them on the prepared baking sheet with space between each piece. Using a potato masher or the bottom of a glass, gently press down on each carrot chunk to flatten it. You want them about ½ inch thick with rough, craggy edges.
Drizzle the olive oil evenly over all the smashed carrots, making sure to coat the crispy edges. Sprinkle with garlic powder, onion powder, salt, pepper, and thyme. Use your hands to gently rub the seasonings into all the nooks and crannies. Roast for 25-30 minutes until the edges are golden brown and crispy. In the last 5 minutes, sprinkle the parmesan cheese over each carrot and return to the oven until the cheese melts and turns golden.