Pound the chicken breast out gently until it is has essentially doubled in size or is about a ¼ to 1/3” thick. Season the chicken with salt and pepper.
Layer on a slice of ham and then 3 half slices of Swiss cheese. Fold in the sides slightly and then roll the chicken forward making sure the ingredients stay inside and are enclosed inside.
Repeat until all the chicken is stuffed. Lightly coat the chicken roll in the flour and pat off any excess and then dredge in the egg wash on all sides.