In a medium bowl, whisk together cider vinegar, honey mustard, sugar, and oil. Add slaw mix and parsley and mix well.
Arrange turkey slices on bottom half of rolls. Place rolls on a baking sheet. Spoon slaw mixture over turkey and top slaw with Muenster cheese. Place sandwiches until broiler and broil 3 minutes, until cheese melts.
Copyright 2006, Robin Miller, All Rights Reserved