It depends on how much rain there is in the desert.
The Australina water-holding frog is a desert dweller than can wait up to 7 year for rain.
Largebirds and small mammals are the most common predators of a Desert Rain Frog.
Spadefoot toads (several species) inhabit nearly all desert areas of the American southwest. They spend almost their entire lives underground and only emerge after a heavy rain.
goliath frog
Are you sure you are not referring to a 'rain shadow' desert? I find no reference to a 'rain shower' desert.
how much rain does the desert get
Are you sure you are not referring to a 'rain shadow' desert? I find no reference to a 'rain shower' desert.
no, there normally no frogs or toads in a desert
sasquatch
Toad.
The Savanna is not a desert. It is a region of semi-arid grassland and receives more rain than a desert.