This article is from the Canada immigration FAQ, by N. Cenk Gokce, Ankara, TR (dv535@freenet.carleton.ca) with numerous contributions by others.
Yes, but not indefinitely. One cannot be a permanent resident in two
countries at the same time, so sooner or later you'd have to choose one of
the countries in question. Having a US Green Card, applying to the DV
lotteries etc. does not effect your eligibility and ultimate acquistion of
Canadian PR.
 
Continue to: