Heat olive oil over medium heat in a large skillet.
Add the diced chicken to the skillet and cook until browned and cooked through, about 7-10 minutes.
Stir in minced garlic and cook for an additional minute until fragrant.
Reduce heat to low and pour in the heavy cream, stirring to combine.
Gradually mix in the grated Parmesan cheese, stirring continuously until melted and smooth.
Season with salt and pepper to taste, adjusting according to personal preference.
Add the cooked tortellini and broccoli florets to the sauce, stirring to coat evenly.
Serve warm and garnish with extra Parmesan if desired.