Season the cubed chicken breasts with kosher salt and ground black pepper.
In a large skillet, heat the olive oil over medium-high heat. Add the seasoned chicken cubes and cook for about 5-7 minutes until browned and cooked through. Remove chicken from skillet and set aside.
In the same skillet, reduce heat to medium and add the heavy cream and low-sodium chicken broth. Stir well and bring to a gentle simmer.
Stir in the Parmesan cheese and sun-dried tomato pesto until the cheese has melted and the sauce is creamy.
Add the gnocchi to the sauce, stirring gently to coat, and cook according to package instructions, about 2-3 minutes or until gnocchi floats to the top.
Fold in the fresh baby spinach, allowing it to wilt slightly.
Return the cooked chicken to the skillet, stirring to combine. Serve immediately garnished with extra Parmesan cheese if desired.