Arizona or Vermont 4 license?

Hi Gang,
I was about to apply to Arizona for my nclex exam, but today I was told by a nursing agency not to do this as Arizona will not license you without a green card/ ssn, is this true? I thought Arizona issued a license as long as you have passes the nclex.
They advised me to apply to Vermont. I would be greatful if someone could clear this up for me.
Kind Regards.