In a bowl, whisk together the chicken broth, soy sauce, and maple syrup. Set aside.
2
Heat 1 tablespoon of sesame oil in a large pan over medium heat. Add the broccoli and carrots, and cook for about 4 minutes, or until vegetables are tender. Remove the vegetables from the pan, place on a plate, and cover to keep warm.
3
Wipe the pan clean with a paper towel and turn the heat to high. Add the remaining tablespoon of sesame oil.
4
Season the chicken pieces with salt and pepper, and add them to the pan in a single layer, cooking in batches if necessary. Cook for 3-4 minutes on each side, until golden brown and cooked through.
5
Add the minced garlic to the pan and cook for 30 seconds. Then add the cooked vegetables back to the pan, and cook for an additional 2 minutes or until warmed through.
6
Pour the prepared sauce over the chicken and vegetables, and cook for 30 seconds.
7
In a small bowl, mix the cornstarch with a tablespoon of cold water, and add it to the pan. Bring the mixture to a boil, and cook for 1 more minute, or until the sauce has started to thicken.