Combine first 6 ingredients in a large zip-top bag. Add chicken to bag; seal and marinate in refrigerator at least 2 hours.
Remove chicken from bag; discard marinade. Place chicken on a grill rack coated with cooking spray; grill 6 minutes on each side or until done. Cool; cut chicken into 1/4-inch strips.
Warm tortillas according to package directions. Divide chicken evenly among tortillas; roll up.