Peeling of skin in peripheries can happen during recovery phase of some infections like scarlet fever
If he is otherwise normal- without fever, with good oral intake, with normal activity and peeling is limited to finger and toes without any bleeding- you need not worry. Just visit your Pediatrician
to get reassured that everything is fine. You may apply some moisturizing lotions to prevent dryness.
How ever if your son continues to get fever, he his dull/ irritable, his oral intake is poor, peeling is progressing to other body parts or if bleeding is seen beneath the peeled off skin- its a must that you see your Pediatrician immediately.
In such a case one needs to rule out some conditions like Kawasaki Disease
, Staphylococcal Scalded Skin syndrome
Hope my answer helps you.
Wish your son good health.