Cook rice according to package directions. Set aside.
Heat oil in a skillet.
Chop chicken breasts into chunks, and cook in hot skillet until the center is no longer pink.
Mince garlic; add to chicken along with the ground ginger. Cook for another minute.
Add broccoli to skillet; toss to combine.
Combine broth, orange juice, soy sauce, honey, salt, corn starch and water in a small bowl, pour over chicken and broccoli. Put a lid on the skillet and let cook until the broccoli is tender, about 5 minutes. Stir occasionally.
Drain oranges and add to broccoli and chicken; heat through.
Serve over cooked brown rice and top with sliced almonds.