Start by cooking the pasta according to package instructions until al dente. Drain and set aside, reserving a little pasta water for later use.
In a large skillet, heat the olive oil over medium heat. Once hot, add the chicken strips and sprinkle with Cajun seasoning. Cook for about 5-7 minutes, or until the chicken is cooked through and no longer pink in the center.
Add the minced garlic to the skillet and sauté for an additional minute until fragrant, stirring frequently to avoid burning.
Pour in the chicken broth and bring the mixture to a gentle simmer. Let it reduce slightly for about 3-4 minutes.
Lower the heat and stir in the heavy cream, mixing until well combined. Allow the sauce to cook for another 2-3 minutes, thickening slightly.
Gradually add the grated Parmesan cheese, stirring continuously until melted and incorporated into the sauce.
Combine the cooked pasta with the creamy sauce in the skillet, tossing to coat the pasta evenly. If the sauce is too thick, add a splash of reserved pasta water until desired consistency is reached.
Serve immediately, garnishing with chopped parsley for a fresh finish.