Heat a large pot of water to a boil; add chicken breast; cook until no longer pink. Allow to cool to touch and then shred. Place the shredded chicken in a large bowl.
Chop broccoli and spinach and add to shredded chicken along with cream cheese; mix thoroughly.
Toss into chicken mixture; Add salsa. Spread onto each tortilla, roll up and place each into baking dish. Sprinkle with shredded cheddar; bake for 30 minutes.