In a large skillet, heat the vegetable oil over medium heat. Add the ground chicken and cook until browned, breaking it apart with a spatula, about 5-7 minutes.
Stir in the minced garlic and ginger, cooking for an additional 1-2 minutes until fragrant.
Add the teriyaki sauce and soy sauce to the skillet, mixing well to combine.
Fold in the diced bell pepper and shredded carrots. Cook for another 3-4 minutes until the vegetables are tender.
Remove from heat and stir in the chopped green onions.
To serve, spoon the chicken mixture into the lettuce leaves, garnish with sesame seeds if desired, and enjoy!