Bring a large pot of salted water to a boil. Add your spaghetti or fettuccine and cook according to package instructions until al dente. Reserve about 1/2 cup of pasta water before draining, then set the pasta aside.
Heat the olive oil over medium heat in your skillet. Add the minced garlic and red pepper flakes, stirring frequently until the garlic is fragrant and golden but not browned, about 1-2 minutes.
Add the cleaned mussels to the skillet and pour in the chicken broth. Cover with a lid and allow the mussels to steam for 5-7 minutes, or until all the mussels have opened. Discard any that remain closed.
Remove the mussels with a slotted spoon and set aside, leaving the broth in the pan. Stir in the heavy cream and Parmesan cheese, letting the sauce simmer gently until it thickens slightly, about 2-3 minutes. If the sauce feels too thick, add a splash of reserved pasta water to loosen it.
Add the drained pasta and cooked mussels back into the skillet. Toss everything gently to coat the pasta in the creamy, garlicky sauce. Season with salt and black pepper to taste. Sprinkle with fresh parsley for that final pop of color and freshness.
Plate your Garlic Parmesan Mussel Pasta immediately while it’s warm and inviting. Pair it with a crisp green salad or a slice of crusty bread to soak up any leftover sauce. Bon appétit!