In a large mixing bowl, combine the ground chicken, panko, egg, green onions, ginger, and garlic until just incorporated.
Form the mixture into 4 equal-sized patties, approximately 1/2 inch thick.
Heat the vegetable oil in a large non-stick skillet or grill pan over medium-high heat.
Add the chicken patties to the pan and cook for 5 to 6 minutes per side until the internal temperature reaches 165 degrees Fahrenheit.
During the final 2 minutes of cooking, brush both sides of the patties generously with the teriyaki glaze.
Place the pineapple rings in the pan and sear for 1 minute per side until lightly caramelized and charred.
Lightly toast the buns on the grill or in a toaster.
Assemble the burgers by placing shredded lettuce on the bottom bun, followed by the glazed chicken patty, a grilled pineapple ring, and the top bun.