01 - Preheat the oven to 430°F and line a large baking sheet with parchment paper.
02 - Place all prepared vegetables into a large mixing bowl.
03 - In a small bowl, whisk together olive oil, minced garlic, dried oregano, dried thyme, smoked paprika, salt, and black pepper.
04 - Pour the seasoned oil over the vegetables and toss thoroughly to ensure even coating.
05 - Spread the vegetables evenly in a single layer on the prepared baking sheet.
06 - Roast for 30 to 35 minutes, stirring halfway through, until vegetables are tender and lightly caramelized.
07 - Sprinkle grated Parmesan or vegan cheese over the vegetables and return to the oven for 2 to 3 minutes until melted.
08 - Remove from oven, garnish with fresh parsley, and serve warm.