Yes, cockroaches have wings. Cockroach wings are a unique feature of these insects and are one of the distinguishing characteristics that separate them from other insects. They are located on the mesothorax and metathorax of the cockroach's body, which are the middle and hind segments of the thorax, respectively. The wings are typically flat and extend horizontally from the body when not in use.
The wings of a cockroach are membranous and are supported by a network of veins that give them their shape and structure. These veins also provide a system of channels for the flow of hemolymph, the insect equivalent of blood. The veins are arranged in a pattern that is unique to each species of cockroach, allowing entomologists to identify different species based on their wing structure.
The wings of a cockroach are covered in a layer of microscopic hairs called setae. These setae serve a number of purposes, including providing sensory feedback to the cockroach about its surroundings and helping to trap small particles like dust and dirt. The setae also help to anchor the wings in place.