Place the ground chicken in a bowl and add 2 tablespoons teriyaki sauce, the grated ginger and crushed garlic. Mix it together with a fork or your hands until just combined. Shape into four burgers, each of them at least 1/2 inch thick.
Heat the butter or olive oil in a large, nonstick frying pan over medium heat. Place the burgers in the pan and fry, uncovered, until thoroughly cooked and no pink remains in the center, from 4 to 5 minutes per side. Remove to a plate and serve.
These burgers can also be baked in the oven for 20 - 25 minutes at 375ºF or broiled under your broiler.
For the Glaze:
Immediately add the tablespoon of teriyaki sauce to the pan juices and turn the heat to high. Boil, uncovered and stirring almost constantly, until the teriyaki sauce is reduced to a glaze, about two minutes. Stir in the chopped green onions, heat the onions through, then pour the teriyaki sauce mixture over the burgers.
If you have broiled or oven baked the burgers, add 1 teaspoon of oil to the pan before you add the teriyaki sauce and onions.
Notes
The glaze is optional but adds tons of flavor. I love the pieces of green onion studded in the glaze. Lots of flavor with few ingredients.