Cook the tortellini according to package instructions.
In a large skillet, heat olive oil over medium heat.
Add the diced chicken to the skillet, seasoning it with salt and pepper, and cook until golden brown and cooked through, about 6-8 minutes.
Stir in minced garlic and cook for an additional minute until fragrant.
Add the broccoli to the skillet, cooking for another 3-4 minutes until they are bright and tender.
Pour in the heavy cream, stirring to combine, and bring to a gentle simmer.
Stir in Parmesan cheese until melted and the sauce thickens, adjusting with reserved pasta water if necessary.
Add in the cooked tortellini and stir to combine; cook for an additional minute to heat through.
Serve hot, garnished with additional Parmesan and black pepper if desired.