Here in Pasadena, they do fine with summer heat and low humidity, but I have them in part shade. The one that's happiest gets morning sun and then is sheltered by the shadow of the house from about 1:30 pm on. I also water them regularly. My guess would be that full sun in Palm Springs might tend to make them burn. They'd probably survive, but not thrive. A better choice would be something that's not going to fight your climate.

Kay

The Perry book says, 'no',

Desert full sun and heat would fry the foliage of Osmanthus fragrans, and it would probably be a struggle to get this to do well even in a shaded and protected patio with just dappled sun.

Under a lath or shade cloth is your best chance.