Pound chicken breasts so they are even thickness. Sprinkle chicken with garlic powder, salt, and pepper. In a large skillet, heat oil over medium heat; brown chicken on both sides. Remove from pan to a plate and keep warm.

Add broccoli and broth to same skillet; bring to a boil. Stir and deglaze the pan. Reduce heat and simmer, covered, until broccoli is just tender, 3-5 minutes. Using a slotted spoon, remove broccoli from pan, reserving broth. Keep broccoli warm.

In a small bowl, mix flour, chives and milk until smooth. Gently stir into broth in pan. Bring to a boil, stirring constantly. Cook and stir until thickened, 3 -5 minutes. Add chicken and cook, covered, over medium heat until juices run clear and chicken is thoroughly cooked, approximately 10-15 minutes. Serve with broccoli.