An official burial will be held November 17 in the capital Tirana at a cemetery where other members of the royal family are already interred.
The authorities "have tasked the Albanian embassy in Paris with organizing the repatriation," Mehilli said.
In Tirana the government will organize the burial ceremony.
In December 2011 the pretender to the Albanian crown, the crown prince Leka, was given a burial "with all royal attributes" despite the fact that Albania is now a republic.
Zog ruled Albania from 1925 until 1939. He started out as president but in 1928 proclaimed a constitutional monarchy and was crowned king of the Albanians.
He fled the country in 1939 after Italy invaded. He died in exile in France aged 66 and was buried in the Thiais cemetery.