Preheat your oven to 375°F (190°C).
Cook lasagna noodles according to package instructions; drain and set aside.
In a large skillet, melt butter over medium heat.
Add minced garlic and sauté until fragrant.
Stir in flour to make a roux; cook for 1 minute.
Gradually whisk in chicken broth and cream until smooth.
Add cooked, shredded chicken to the sauce and mix well.
Layer noodles in a baking dish, followed by the chicken mixture and cheese.
Repeat layers, finishing with cheese on top.
Bake for 30-40 minutes until bubbly and golden.