Cutaneous leishmaniasis is a skin disease caused by a parasite.
A dermatologist is a doctor who specializes in diseases of the skin, hair, nails and mucous membranes.
The infectologist is a medical specialist and diseases caused by infectious agents such as bacteria, viruses, fungi and parasites.
Remember that for the proper selection of health professional that treats cutaneous leishmaniasis you must consider the nature, severity and symptoms you are presenting.