Preheat oven to 200°F.
Cut each chicken breast half into two pieces width wise. Lightly pound each piece to about ¼" thickness. Tip: Place between plastic wrap that has been sprinkled with a little water makes it pound out easier.
In a small bowl mix together the salt, pepper and nutmeg.
Place beaten egg and flour in two separate shallow bowls ( a couple of pie pans work very well).
Add salt mixture to flour and mix well.
Dip the chicken breasts into the egg and then into the flour until they are well coated.
Heat oil in a shallow frying pan. Use only enough oil to cover the bottom of the pan.
Fry each chicken breast piece for about 3-4 minutes on each side. You might have to add some oil for every batch of chicken breasts you cook.
Place the fried chicken breasts in an oven safe platter and place in oven to keep warm while cooking all the chicken and preparing the sauce.