Purchase several chayote fruits from a market in late autumn. Refrigerated chayote fruits are acceptable; they germinate and sprout as well as room-temperature chayote.
Put the chayote fruits in a dark, cool place, such as a pantry or closet. Check the chayote fruits in a few months. Keep the chayote with long sprouts emerging from the tip; discard those that did not sprout.
Place a sprouting chayote in a container with the sprouted tip facing up. Fill the container with soil.
Set the chayote in a warm, sunny spot and water it when the soil feels dry. If temperatures are below freezing, keep the chayote indoors until the frost passes. After the frost, plant the chayote outdoors.