Prepare pasta according to package directions, reserving 1/2 cup pasta water.
In a large skillet, heat olive oil over medium heat. Add crab and heat through. Stir in wine and bring just to a boil. Reduce heat to low and stir in lemon juice. Add cooked pasta and Parmesan, tossing to coat well. If pasta needs more liquid, stir in reserved pasta water. Season with salt and black pepper. Top with parsley, if desired.