Heat oil in skillet set over medium heat; sauté onion, garlic and ginger for 2 minutes. Add chicken; sauté for about 10 minutes or until browned and cooked through. Add carrots; sauté for 2 minutes.
Stir in chicken broth, raspberry balsamic glaze and soy sauce; bring to simmer. Simmer for 8 minutes; stir in rice and heat through. Spoon chicken mixture evenly into lettuce cups. Garnish with cashews, green onion and basil.