Season chicken breasts with salt, pepper, and Cajun seasoning. Heat olive oil in a skillet over medium-high heat and sear chicken for 6-7 minutes on each side until cooked through. Remove and let rest before slicing.

Boil salted water in a large pot. Cook pasta according to package instructions until al dente, usually 8-10 minutes. Reserve 1 cup of pasta water before draining.

In the same skillet, melt butter over medium heat. Sauté minced garlic for 1-2 minutes. Add Cajun seasoning and smoked paprika, stir for 1 minute.

Pour in heavy cream and chicken broth, bringing to a simmer. Cook for 4-5 minutes until sauce thickens.

Stir in grated Parmesan cheese until melted. Add cooked pasta, tossing to coat. Mix in reserved pasta water if needed for consistency.

Slice chicken and add to pasta. Adjust seasoning if necessary. Serve garnished with parsley and extra Parmesan.