01 - Bring a large pot of salted water to a rolling boil. Cook fettuccine according to package directions until al dente. Drain pasta, reserving 1/2 cup of the cooking liquid, and set aside.
02 - Pat chicken breasts thoroughly dry with paper towels. Sprinkle Cajun seasoning liberally over both sides of each breast, pressing gently to adhere.
03 - Heat olive oil in a large skillet over medium-high heat until shimmering. Add seasoned chicken and cook 5 to 6 minutes per side until deeply blackened and cooked through, reaching an internal temperature of 165°F. Transfer to a cutting board and rest 5 minutes before slicing thinly.
04 - Return the skillet to medium heat. Add butter and minced garlic, sautéing for 1 minute until fragrant but not browned.
05 - Pour in heavy cream and whole milk. Bring to a gentle simmer, stirring frequently to prevent scorching.
06 - Stir in grated Parmesan cheese until completely melted and sauce thickens slightly, approximately 2 to 3 minutes. Season with salt, black pepper, and cayenne to taste.
07 - Add cooked fettuccine to the sauce, tossing to coat evenly. Add reserved pasta water a tablespoon at a time if needed to achieve desired consistency.
08 - Divide pasta among serving plates. Top with sliced blackened chicken. Garnish generously with chopped parsley and additional freshly grated Parmesan.