Combine first 3 ingredients; spread evenly over both sides of chicken. Place chicken on a broiler pan coated with cooking spray; broil 6 minutes on each side or until done.
While chicken cooks, heat vegetable oil in a large skillet over medium-high heat. Add onion; saute 2 minutes. Add coleslaw; saute 1 minute or until coleslaw begins to wilt.
Place coleslaw mixture in a medium bowl. Add sesame oil, salt, and pepper, tossing to coat. Serve coleslaw mixture with chicken.