Preheat your oven to 400°F (200°C).
Roast the Vegetables: Line a large sheet pan with parchment paper.
Arrange the vegetables cut-side up, drizzle with olive oil, and season evenly with salt and pepper.
Roast for 45 minutes or until the vegetables are tender and caramelized.
Prepare the Pasta: While the vegetables cool for 5–10 minutes, bring a large pot of salted water to a boil.
Cook the pasta according to the package instructions, reserving 1 cup of pasta water before draining.
Return the drained pasta to the pot or a serving bowl, adding cooked chicken if using.
Blend the Sauce: Transfer the roasted vegetables to a blender.
Add fresh parsley or basil, salt and pepper to taste, heavy cream, and grated Parmesan.
Blend until smooth, adding reserved pasta water ¼ cup at a time as needed to reach your desired consistency.
Assemble and Serve: Pour the sauce over the pasta and toss to coat evenly.
Garnish with additional Parmesan and fresh herbs.
Serve warm and enjoy!