Q.will hostas grow and survive in arizona heat?
Can they survive the summer heat in Arizona?
Hostas are rated for AHS Heat Zones: 8 to 1 which means it can withstand 90-120 days of heat days (>86F). I can not accurately answer your question without knowing what part of Arizona you are in. So here is what I suggest you do.
Determine your growing zone with this link.
https://www.gardeningknowhow.com/planting-zones/
For a more detailed explanation of the American Horticulture Society's heat tolerance map, please visit: http://www.ahs.org/gardening-resources/gardening-maps/heat-zone-map#use
For more information on growing hostas, please visit the following link:
https://www.gardeningknowhow.com/ornamental/foliage/hosta/growing-hosta-plants.htm