If there fruit that should work in the desert it would be a fig, provided it has enough water. Tolerates a lot of heat. Note that there are two types of figs, common, and smyrna figs. Common figs do not need a wasp to pollinate them, smyrna figs do. You want common figs.
There is a place called Son Mut Nou, Montserrate in Mallorca. What they do is to give each tree a space that is about 40' x 40' and do not let anything else grow in that area. When They plant they dig down 4 or 5 feet and plant the tree. They cover the roots, and water and it begins to grow. As it gets taller they fill in more of the hole until it is level with the rest of the orchard. They prune it until the limbs are 5-6 feets above the ground. They have rain about 2 months a year, and after that first couple of years they do not water the trees. The tree needs to develop and send out roots to get the water it needs. Here is a video of this fig orchard which looks like a desert!
0:39 / 2:24 Son Mut Nou, Montserrat Pons fig trees
For more information go to "https://www.ourfigs.com/"
I’m west of Tucson at about 2100’ elevation. Our fig tree did OK last year in a big pot, though the birds ate the figs, of course. I planted it in the ground in March and am watering it deeply about every 10 days; so far so good, but I’ll have to water a bit more when the heat really gets here. I hope the roots grow outward enough for the tree to thrive. The soil here is really poor, mostly sand/clay and quite hard.
I don’t think it stays cold enough long enough during the winter for most fruit trees to do well.