Grapes grow in Arizona with a little extra care and water. Several varieties, such as Thompson seedless, do very well. Others that need a frost or chilling period, like Concord, don't do as well. Arizona is home to several vineyards that grow their own grapes. Home gardeners can do so as well.
Install a trellis or other support for the grapevines.
Dig a hole twice as deep and wide as the container for the grapevine plant or 2 feet by 2 feet wide if the vine is bare root stock. Mix the dirt with just as much compost and fertilizer per package directions. Refill the hole half way and water well.
Remove the plant from the container or packaging and place in the hole. The root graft on the grapevine should be level with the top of the soil. Adjust as necessary.
Fill the hole, and water again.
Fertilize in the spring after the first leaves appear, usually in March or April. Install a trellis or other support for the grapevines. Select several strong branches to grow laterally on the support tying them to the support if necessary. The vines will flower in May.
Fertilize once a month with water soluble fertilizer. Water twice a week during the months of June and July. Leaves may wilt during temperatures over 100 degrees but will re-hdyrate during the cooler evening hours.
Protect the grape clusters from the birds with netting or by placing the clusters in paper bags. Aluminum foil cut in strips sometimes works to scare the birds away as does shiny Christmas garland. The strips or garland should hang so the wind blows them.
Watch for horned cabbage worms and grape leaf skeletonizer caterpillers, which feed on the underside of the leaves. The best treatment is to inspect the vines every day or so and remove the cabbage worms by hand. Remove the entire leaf that the skeletonizer caterpillers are feeding on and dispose of in the compost heap or trash.
Harvest the grapes when sweet. Taste test to be sure. Thompson Seedless green grapes stay green even when ripe. Flame Red grapes won't necessarily be completely ripe even when they turn red.
Prune the vines in late December after they've lost their leaves to the four strongest lateral branches.