Cook pasta in salted water per in instructions on package.
Heat oil in a skillet. Add mushrooms and saute for 3-5 minutes until brown. Remove from pan and set aside. Add onion and garlic to the pan with the flour. Stir Cook for an additional 5-8 minutes until soft and fragrant.
Stir in milk and white wine. Bring to simmer for 5 minutes. Add parmesan cheese and until well combined. Add in peas and cook for an additional 2 minutes.
Mix together noodles, mushrooms, and sauce. Garnish with lemon zest.