Bring a large pot of salted water to boil. Add noodles, stir, and cook according to package directions.
During the last 5 minutes of the pasta cooking combine cream, lemon zest, salt, and pepper into a small saucepan.
Bring to a boil, then reduce heat, add the green peas, and simmer for 2 minutes.
Drain noodles and return to the pot. Pour creamy mixture over noodles, add lemon juice, and stir to combine. Cook over low heat 1-2 minutes to absorb some of the liquid.
Taste for seasoning, adding extra salt of fresh ground pepper if needed.
Top with fresh parmesan cheese and serve immediately.