In a small bowl, combine salad dressing and next 3 ingredients. Set aside.
In a medium size bowl, gently toss apple, cabbage and cranberries. Stir in dressing just until coated. Add chopped almonds and set aside.
To assemble: Place 4 slices of bread on a clean, flat surface. Top each slice with one slice of cheese. Add chicken, prepared slaw and remaining cheese slices. Top with bread. Brush both sides of sandwich with melted butter.
Grill sandwiches one at a time in a hot panini machine for 5 minutes or until bread is golden brown. Enjoy.