Cook the pasta for just a few minutes under the package instructions until it's al dente. Undercooking the pasta will make sure it doesn't get overcooked later, since the noodles will continue to cook in the sauce. *Make sure to save a cup of pasta water to thin the sauce, and for reheating purposes later.
Season the chicken breasts liberally with the cajun seasoning blend and kosher salt on all sides. To a hot skillet, add 2 tablespoons of butter. Add chicken, and sear on all sides over medium-high heat, until the internal temperature reaches 165°F with an instant read thermometer, about 5-6 minutes per side. Once cooked, remove from the skillet and set aside to rest for 5-10 minutes before slicing into pieces. Don't drain any of the drippings from the skillet.
Reduce the heat to medium, and add the rest of the butter, and a little splash of chicken broth to the skillet. Add in the minced garlic. Cook until fragrant, stirring often for about 1 minute, then, immediately deglaze the pan with the rest of the chicken broth.
Reduce to low heat. Add in the heavy cream. Stir in parmesan cheese slowly, adding in small handfuls, stirring to melt before adding the next handful until completely melted and smooth. Season with the remaining cajun seasoning, and salt to taste.
Add the cooked pasta, and a little bit of pasta water, along with parsley. Toss to combine, adding more pasta water until the sauce clings to the noodles. Add the chicken pieces back over top, sprinkle with more parsley and freshly grated parmesan. Enjoy!
Store leftovers in the fridge in an airtight container for up to 4 days. Do not freeze. If possible, keep the sauce separate from the pasta to keep the pasta from absorbing too much liquid. Reheat gently on the stovetop or in the microwave with a splash of pasta water.