Anyone from the USA or Canada applied under the Greencard Scheme?
I am not really from US or Canada, but I don't think it depends on your country of Origin. It's a case by case basis, depending of the factors that makes it possible for you to apply for the Green Card.
As they mention there : http://www.nyidanmark.dk/en-us/authorit … -goals.htm
It should take around a month, but for my case it was a work permit on pay scheme limit and took around 2 month.
But you can say minimum time to wait is 1 month 
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