The Alberta Court of Appeal has denied accused Guatemalan war criminal Jorge Sosa a chance to fight a court decision that cleared the way for his extradition to the United States.

Sosa is wanted in the United States for allegedly making false immigration statements by not admitting his military past in his home country of Guatemala.

He has both Canadian and American citizenship.

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Jorge Vinicio Orantes Sosa, a well-known martial arts instructor in the U.S., had his extradition appeal denied Wednesday. (YouTube)

Justice Brian O’Ferrall ruled on Wednesday that Sosa's appeal is "hopeless" and there is no injustice in requiring him to answer the perjury charges in the United States.

Sosa is also wanted in Guatemala, where he has been accused of taking part in a village massacre in 1982 in which 251 men, women and children were killed.

Sosa was arrested in Lethbridge, Alta., in January 2011 while visiting family.