Cockroaches can both fly and [[1]].

Cockroaches have the ability to walk and fly. Some cockroach species are better adapted to walking and are more likely to move around on the ground, whereas others are more likely to fly. 

Cockroaches walk with their legs and fly with their wings. They move quickly and efficiently because they have six legs, each with three segments. 

Cockroaches fly by rapidly beating their wings and creating lift with the muscles in their thorax. They use their walking and flying abilities to avoid predators, find food and mates, and navigate their environment.