Chemical peel & resilient skin that sits. What can I do about it?

After doing every peel, (jessner, 15% TCA, & PCA ultra peel I, it seems my "dead skin" won't give & constantly sits on my face like a "fine mask" they can only be seen when my skin is not moisturized. When it's moisturized, well it looks normal, still has a film over it. After each, I wash daily, moisturize, and sunscreen. What GIVES that the dead skin would constantly just "sit" on my face & not come off? Even after 2wks i still have it. Frustrated