Hunger is but a part of, a condition, we all possess.
It is neither good nor bad.
Allowing the hunger to become the the controlling condition, the basic "world", the base from which one sees, lives one's life, is negative (bad).
Understanding that Hunger is but a part, an element within us over which we have control, enables us to overcome, to not be enveloped by the state of Hunger.
When talking of "eliminating desires", it really means redirecting, channeling our desires from selfish and destructive (negative) desires toward selfless and positive desires.
An example in the mundane world is in the desire for a position of influence.
Selfish hunger (desire) says, " I want that position to gain power, to get bigger, better toys, to control.
Selfless hunger (desire) as a manifestation within a higher state, says,"I want the position in order to help, to better serve or represent those who do not have such power or influence.
Thus Hunger is neither good not bad. It is what we wish to do and what we actually do with hunger that makes it something good or something bad.
A Buddha has hunger. But, that hunger (desire) is for the peace and happiness of all the people. That hunger is for the world to become a land of countless Buddhas.
Here is a long interview which talks about the giving.
Given to the Buddhist Society (started by Father Christmas Humphreys)
by Lama Yeshe, one of my Tantric meditation teachers.
"Crave or crave not, there is only try'" as Master Yoda might say...
lobster
Basically you are craving the sensation of not-craving.
Another mode to appreciate is relaxing. Thich Nhat Hanh recommended “three deep conscious breaths” in a teaching I saw not long ago, to shift into relaxed spaciousness.
Jeroen
But of course she did know, even if I didn't yet.
Imagine someone has Nothing to offer. We of course want something. So we give them an impossible task.
... And the funny thing is they are up to the task until we stop taking and start giving
Nothing. 
lobster