Heat olive oil in a large pot or Dutch oven over medium-high heat.
Add the chicken cubes and cook until browned on all sides, approximately 5-7 minutes.
Stir in the diced onion and bell peppers, sautéing until the vegetables have softened, about 5 minutes.
Add the minced garlic, Cajun seasoning, and smoked paprika; cook for 1 minute until fragrant.
Pour in the chicken broth and bring the mixture to a rolling boil.
Add the pasta and cook for 2 minutes less than the package directions suggest.
Reduce heat to medium-low and stir in the heavy cream and cream cheese until the cheese is fully melted and the broth is smooth.
Simmer for 3-5 minutes until the soup thickens slightly and the pasta reaches al dente.
Stir in the parmesan cheese and adjust seasoning with salt and pepper.
Serve hot, garnished with fresh parsley.