Cook the linguine or fettuccine according to package instructions until al dente. Drain and set aside, reserving 1/2 cup of the pasta water.
In a large skillet, melt the butter over medium heat. Add the minced garlic and red pepper flakes, sautéing for about 1 minute until fragrant.
Pour in the heavy cream and bring to a gentle simmer. Stir in the Parmesan cheese until melted and smooth.
Add the chopped lobster meat to the skillet, stirring to combine. Season with salt and pepper to taste.
Toss the cooked pasta into the skillet, adding reserved pasta water as needed to reach desired consistency. Mix until the pasta is well coated with the sauce.
Serve immediately, garnished with fresh parsley and lemon wedges on the side.