Arizona is not a major potato producing State.

The potatoes that are grown in Arizona are harvested in spring and early summer.
Agricultural Statistics Arizona
Potato Area Harvested in 2014 :3500.00acresAll seasons
Potato Production in 2014 :1085.00(000) cwtSpring only
Potato Production in 2014 :1085.00(000) cwtAll seasons
Potato Yield in 2014 :310.00cwt/acreAll seasons
Potato Yield in 2014 :310.00cwt/acreSpring only
Potato Area Harvested in 2013 :3400.00acresSpring crop only
Potato Production in 2013 :952.00(000) cwtSpring crop only