"understandable desire" is a correct and usable phrase in written English.
Example sentence: "It was an understandable desire for him to want to be successful."
"This is an understandable desire".
There is an understandable desire to employ a friend in a business.
"His interest in science was a natural outgrowing of his understandable desire to live forever, basically".
This second impulse derives from an understandable desire to correct the historical record.
Secrets intelligence agencies want to keep compete with an understandable desire to reveal them.
So there is an understandable desire to have stability in the country.
That is a very understandable desire but certainly not a course of action to be recommended.
Wanting to have children who follow in one's footsteps is an understandable desire.
It's an understandable desire, but I fear it's a bit naive.
There's also an understandable desire to link aid to the achievement of the milestones on the road to democracy.
Prostitutes' understandable desire not to see clients arrested means they strike deals faster and do less risk assessment.
