Step 1: Prepare the Chicken

1. Pat the chicken breasts dry with paper towels. Season both sides with 1/2 teaspoon salt, 1/2 teaspoon black pepper, paprika, and dried Italian seasoning.
2. Heat 2 tablespoons of olive oil in a large skillet over medium-high heat. Add the chicken breasts and cook for 5-6 minutes on each side until golden brown and fully cooked (internal temperature should reach 165°F). Remove the chicken from the skillet and set aside, covering loosely with foil to keep warm.

Step 2: Roast the Broccoli

1. Preheat the oven to 400°F (200°C). Line a baking sheet with parchment paper.
2. In a large bowl, toss the broccoli florets with 1 tablespoon olive oil, 1/2 teaspoon salt, and 1/2 teaspoon black pepper. Spread them evenly on the prepared baking sheet.
3. Roast in the preheated oven for 15-20 minutes or until the edges are crispy and slightly charred. Sprinkle 2 tablespoons of grated Parmesan cheese over the broccoli during the last 5 minutes of roasting.

Step 3: Make the Creamy Parmesan Garlic Sauce

1. In the same skillet used for the chicken, reduce the heat to medium. Add 2 tablespoons of unsalted butter and let it melt.
2. Add the minced garlic and sauté for about 1 minute until fragrant but not browned.
3. Pour in the chicken broth and use a spatula to scrape any browned bits from the bottom of the skillet.
4. Stir in the heavy cream and bring the mixture to a gentle simmer. Reduce the heat to low, and let it cook for 3-4 minutes.
5. Add the grated Parmesan cheese and Italian herbs. Continue to cook, stirring constantly, until the sauce thickens slightly (about 3-5 minutes). Season with salt, black pepper, and crushed red pepper flakes to taste.

Step 4: Combine Chicken with Sauce

1. Return the seared chicken breasts to the skillet, spooning the creamy garlic Parmesan sauce over them.
2. Let the chicken simmer in the sauce for another 2-3 minutes, allowing it to absorb the flavors.

Step 5: Serve

1. Transfer the chicken to serving plates. Add a generous serving of roasted broccoli to each plate.
2. Spoon extra sauce over the chicken, and garnish with fresh parsley if desired.