Preheat oven to 350°. In a large skillet over medium heat, melt butter. Add garlic and cook until fragrant, 1 minute. Whisk in flour and cook 1 minute more. Pour in milk, whisking constantly, and bring mixture to a simmer. Stir in cream cheese and Parmesan and simmer until sauce thickens, 2 to 3 minutes. Add lemon juice and parsley and season with salt and pepper. Spoon a thin layer of sauce onto bottom of a baking dish. Spread sauce onto each cooked noodle and top with chicken, then roll up noodle. Place roll-ups in baking dish, seam-side down, and spoon over remaining sauce. Bake until chicken is warmed through, about 20 minutes.