In the same skillet, reduce the heat to medium and add the butter. Once melted, add the minced garlic and sauté for about 1 minute, or until fragrant.
Pour in the heavy cream and bring to a simmer. Add the Cajun seasoning, starting with 1 tablespoon and adjusting according to your taste preference.
Gradually whisk in the grated Parmesan cheese until the sauce is smooth and creamy. If the sauce is too thick, you can thin it with a little reserved pasta water.