In response. No.
Athlete’s foot is an infection by tinea pedis, a fungal infection. Gangrene is an infection of the bacteria clostridia, which creates a blister with foul pus inside.
Tinea pedis is transmitted and picked up in a wet and moist environment. The fungal tinea pedis invades only the moist area between the toes.
Gangrene is the result of an infection by the bacteria clostridia found in soil. Clostridia invades open wounds, usually on the side of the foot.
Athlete’s foot is not related to gangrene nor is it a stage of gangrene infection.