1. Combine first 5 ingredients in a large zip-top plastic bag; add chicken, turning to coat. Seal, and chill 30 minutes or up to 2 hours.
2. Soak 6-inch wooden skewers in water to cover 30 minutes; drain. Preheat grill to medium-high heat (350° to 400°). Thread chicken and green onion pieces onto skewers, discarding marinade. Grill 6 to 8 minutes on each side or until chicken is done.