Applying GreenCard in USA while having PR status in Canada...

Hi, can any of you give me a valuable suggestion about applying for a green card while having the landed immigrant status in Canada? I am on my H1-B visa for last 4 years and have recently obtained Permanent Resident visa to Canada. Due to unavoidable circumstances, I want and prefer to be in USA now. Since my employer is ready to sponser me a greend card, I am very glad to go ahead with it. But my question is, if I get my canadian landed immigrant visa stamped in my passport (while working on H1 in USA), and I go ahead for applying a green card in USA, does INS question my landed immigrant status in Canada and deny my green card application to be approved? Can any one give me a valuable and resourceful suggestion what to do?

Mr. Rajeev Khanna, is that right I can proceed with my GC process even my immigration (landed immigrant) stamp appears in my visa? Could you please advise me in this matter as soon as possible?
 
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