Heat a dry medium saute pan over medium heat. Cook and stir slivered almonds in the hot pan until light golden brown. Immediately remove almonds from pan and let cool.

Combine chicken, red peppers, and celery in a large bowl. Add salt and pepper and toss until just mixed.

Mix mayonnaise, cilantro, honey, sesame oil, and ginger together until well blended. Fold dressing into the chicken mixture and toss to coat. Add mandarin oranges and the cooled almonds; stir until well blended.