"The regularly trained pilots and cabin crew handled the incident perfectly", Air France said in a statement. All the passengers were being helped by teams dispatched to the location, it said in a statement.
Photos and video of the engine posted by passengers to social media showed the engine's cover completely gone.
The flight was diverted to Goose Bay, Canada after the engine failed over Greenland.
The A380 aircraft, carrying almost 500 passengers, landed safely in Goose Bay, Newfoundland at around 1:40 p.m. local time, after the pilot made a "mayday" call to the airport.
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The plane landed in Canada 90 minutes later.
Several hours after the plane landed, passengers said they remained onboard.
The double-decker wide body aircraft carrying 496 passengers and 24 crew had taken off from Paris bound for Los Angeles and was several hours into the flight when the incident occurred.
The airline said it would fly the affected passengers to Los Angeles aboard two planes on Sunday morning.
Passengers reported that they heard the explosion in the engine which caused the plane to vibrate, leaving passengers in shock, but none of them were harmed. The engine was made by Engine Alliance, a joint venture between General Electric Co and United Technologies Corp's Pratt & Whitney unit.