01 - Preheat oven to 425°F. Line a baking sheet with parchment paper.
02 - Bring a large pot of salted water to a rolling boil. Add the peeled carrots and cook for 10 to 12 minutes until fork-tender but still holding their shape. Drain thoroughly and let cool slightly.
03 - Arrange the parboiled carrots on the prepared baking sheet. Using the flat bottom of a glass or jar, press down firmly on each carrot to flatten it to approximately 1/2-inch thickness.
04 - Drizzle the smashed carrots evenly with olive oil. Sprinkle with kosher salt, black pepper, garlic powder, and smoked paprika. Toss gently to ensure even coating on all sides.
05 - Roast in the preheated oven for 20 to 25 minutes, flipping the carrots halfway through cooking, until the edges are deeply golden and crispy.
06 - Transfer the roasted carrots to a serving platter. Finish with a scattering of chopped fresh parsley and a dusting of grated Parmesan if desired. Serve immediately while warm.