Cook the pasta according to package instructions, then drain and set aside.
In a large skillet, heat olive oil over medium-high heat.
Add chicken pieces and cook until golden brown and cooked through, about 6-7 minutes.
Add garlic to the skillet and sauté for another minute until fragrant.
Lower the heat to medium, add the spinach, and cook until wilted.
Pour in the heavy cream and bring to a gentle simmer.
Stir in the Parmesan cheese until melted and the sauce is smooth.
Add the cooked pasta to the skillet and toss to coat in the sauce.
Season the dish with salt and pepper to taste, then serve immediately.