Preheat oven to 350°F. Bring large pot of lightly salted water to boil. Cook lasagna noodles in boiling water 7-8 minutes. Drain and rinse with cold water.
In sauce pan over medium heat, add Pesto and Oregano Olive Oils, onion, garlic, and cook until tender, stirring frequently. Stir in flour and salt, and simmer until bubbly. Add broth and milk. Boil, stirring constantly, for 1 minute. Stir in 2 cups mozzarella cheese and 1/4 cup Parmesan cheese. Season with basil and ground black pepper. Remove from heat and set aside.
Spread 1/3 sauce mixture in bottom of 9"x13" baking dish. Layer 1/3 noodles, ricotta, and chicken. Arrange 1/3 noodles over chicken and layer with 1/3 sauce mixture, spinach, and remaining 2 cups mozzarella cheese & 1/2 cup Parmesan cheese. Arrange remaining noodles over cheese and spread remaining sauce evenly over noodles. Sprinkle with parsley and 1/4 cup Parmesan cheese.
Bake 35-40 minutes.