The recorders - commonly known as "black boxes" - were found after the flight, PIA 8303, crashed in a dense residential area adjacent to Jinnah International Airport in Karachi on May 22, killing all 99 people in edge except two.
The French aviation safety investigation authority for civil aviation, BEA, is the accredited representative of the Airbus 320 involved in the accident.
A French team arrived in Karachi on May 26, according to BEA. French authorities said Thursday they had received a request from Pakistan to manage the repair and download of the data from the recorders at a later date.
"The mission to the site is about to be completed," said the tweet on Saturday, adding that "the Pakistani AAIB team will then fly to France."
Pakistani Aviation Minister Ghulam Sarwar Khan said on Friday that the initial report of the crash would be released on June 22.
Khan said the ministry had informed Prime Minister Imran Khan, who has ordered all reports to be made public.
The pilot on board told air traffic control in Karachi that he lost engines before the plane crashed.
"We are proceeding directly, we have lost engines", can we hear the pilot speak of the approach of the plane, in an audio recording of air communications obtained by CNN from a Pakistani government source.
A few seconds later, the pilot could be heard making several distress calls, followed by an air traffic control response saying that the two runways were free to land. The audio is then cut off.
The Lahore flight was a special service to help passengers get home for Eid vacation after the coronavirus lockout was eased.
