Preheat oven to 425°. Heat a large baking sheet in the oven for 5 minutes.
Combine bread crumbs and cheese in a shallow dish; set aside. Combine garlic and oil in a small bowl, set aside.
Place chicken between 2 sheets of heavy-duty plastic wrap. Flatten chicken to 1/2-inch thickness, using a meat mallet or rolling pin; cut into one-inch-wide strips. Dip strips in oil mixture; coat with crumb mixture.
Coat preheated baking sheet with non-stick vegetable spray and place chicken on prepared baking sheet. Bake at 425° for 12 to 14 minutes, turning after 10 minutes.