There are several chemical peel solutions available which can be use safely in pigmented skin. Your best option would be to discuss your skin and your goals with a surgeon who has expertise in treating darker skin.
The key to resurfacing darker skin is to not use aggressive peels which increase the risk of post inflammatory hyperpigmentation. Instead, a series of multiple less aggressive peels is more effect, with limited risk. As stated in prior comments, I have had much success with the Vi Peel in dark skinned patients. It is a mixture of multiple peeling agents in lesser strengths, but still provides excellent results.
I would recommend a series of Salicylic Acid peels to improve acne and
pigmentation. Salicylic Acid peels are light peels that are safe and effective
on all skin types. Best results come after multiple treatments, how many is
dependent on the severity of your pigmentation. A Vi Peel is also safe for
African American skin however it is stronger than a Salicylic Acid peel as it
contains 5 different acids. Vi Peel is a combination of Phenol, Salicylic Acid,
Retinoic Acid, Trichloric Acid and Vitamin C.
Consult with a Board Certified Dermatologist to see which peel is best