This is a question that I answered for someone who had a procedure by another physician.

Hypopigmentation from a chemical peel about a month ago is a little early for permanent hypopigmentation. This condition can and usually shows up months later. If this is permanent there are some special treatment light systems that can help with bringing back the pigmentation. But these do not always completely help the pigmentation. Some others have attempted skin grafts with siginificant recovery and problems. I would wait to do anything extreme. I would consider topical skin medications to possibly cut down on the inflammation if there is any. This will help with the inflammation continuing to hurt the melanocytes and preventing their migration into the skin areas.  Melanocytes are the cells within your skin that produces the pigment melanin that is dispersed throughout the skin cells in the area.

Consulting a Board Certified Facial Plastic Surgeon would be something that I would recommend. We specialize in the face and are highly qualified to help you with this.