Sophie Petronin's reported return to Mali, where she was held captive for four years, has sparked criticism and concern from authorities.
The plane landed safely and none of the 90 people on board were harmed.
Amad al-Faqi al-Mahdi was jailed for nine years in 2016 after pleading guilty to war crimes.
The group kidnapped the Swedish national from Timbuktu in 2011.
Three militant groups claimed responsibility for the November 20 incident, in which a number of foreign tourists were killed by gunmen at the Radisson Blu hotel in Mali's capital Bamako
Unknown jihadists attacked a luxury hotel in November, killing 20 people including many foreigners.
The attack on the luxury hotel in Mali's capital killed 20 people.
As events unfold, some people are trapped in their offices and schools.
At least 27 are reportedly dead in the attack on a Western target in the West African country.