Thanks for asking the query,
Cheek peeling in the mouth can be because of several reasons;
can be due to bacterial, viral infections, oral herpes, vitamin B12 deficiency
tobacco use, smoking
, low immunity.
I would suggest you to get an examination done by a Dentist
, take necessary x-rays if needed.
Meanwhile maintain a good oral hygiene
, use antiseptic mouthwash gargles twice daily.
Avoid eating of hot and spicy foods.
Take vitamin B complex tablets once daily.
Use antiseptic mouthwash gargles twice daily.
Hope this helps out.