Season the steak: Pat the steak cubes dry with paper towels. Toss them with Cajun seasoning, a pinch of salt, and freshly cracked black pepper until evenly coated.
Sear the steak: Heat the olive oil and 1 tablespoon of butter in a large, heavy-bottomed skillet over medium-high heat. Add the steak in a single layer and sear undisturbed for about 2 minutes. Flip and cook for another 1–2 minutes, depending on your preferred doneness. Transfer the steak to a plate.
Cook the garlic: Reduce the heat to medium. Add the remaining tablespoon of butter to the skillet and scrape up the flavorful browned bits. Stir in the minced garlic and red pepper flakes. Cook for 30–45 seconds, just until fragrant.
Add the liquids: Pour in the heavy cream and broth. Stir well and bring the mixture to a gentle simmer.
Cook the pasta: Add the dry pasta directly to the simmering liquid. If using fettuccine, break it in half if necessary so it can submerge easily. Cover and simmer for 9–11 minutes, stirring occasionally, until the pasta is al dente and the sauce has thickened.
Add Parmesan: Turn off the heat. Gradually stir in the freshly grated Parmesan until it melts into a smooth, glossy Parmesan cream sauce.
Finish the pasta: Return the seared steak and any accumulated juices to the skillet. Toss gently until the steak and pasta are evenly coated. Sprinkle with fresh parsley and additional red pepper flakes if desired. Serve immediately.