Heat oil in a large skillet over medium heat and soften leeks for 7 minutes. Add ground chicken, 1/4 teaspoon salt and pepper and cook for 8 to 10 minutes, breaking the meat finely, until 165°F; fold in frozen peas off heat.
Melt sauce butter in a saucepan and stir in flour for 1 minute. Gradually whisk in milk and broth, add remaining salt and nutmeg and simmer for 5 to 6 minutes until lightly thickened.
Butter a 6-quart slow cooker and spread 3/4 cup white sauce over the bottom. Divide dry noodles into three groups, breaking sheets to fit with minimal overlap.
Layer one group of noodles, one-third of the chicken mixture, one-third of the remaining white sauce and one-third of the Gruyère. Repeat twice and finish with Parmesan, making sure sauce covers every noodle edge.
Cover and cook on low for 3 to 3 1/2 hours, checking at 2 1/2 hours, until the center noodles are tender and the filling reaches 165°F.
Switch off, uncover and rest for 25 minutes. Divide into eight portions with a wide spatula, keeping the white sauce and chicken layers together.