Cook the linguine or fettuccine according to package instructions until al dente. Drain and set aside, reserving 1/2 cup of pasta water.
In a large skillet, heat the olive oil and butter over medium heat. Add the minced garlic and sauté for about 1 minute until fragrant.
Pour in the heavy cream and bring to a gentle simmer. Stir in the grated Parmesan cheese until melted and smooth.
Add the cooked lobster meat and red pepper flakes (if using) to the sauce. Season with salt and pepper to taste. Let it cook for 2-3 minutes to heat through.
Toss the cooked pasta into the skillet with the sauce, adding reserved pasta water a little at a time until the desired consistency is reached.
Serve immediately, garnished with fresh parsley and lemon wedges on the side.