The Rwandan authorities accused Mr Kamana, a businessman, of genocide and complicity in genocide.
Kamana has been living in Annecy for a year and has resided in France for several years, according to a French source.
The registry has recorded Mr Kamana's age as 68 years, but, according to his statements, he is 74 years old.
He was transferred Wednesday morning to the prosecutor of Chambery, who has seven days to notify him of the arrest warrant details.
Another Rwandan was arrested at the request of Kigali last month.
Marcel Bivugabagabo, a former Lieutenant-Colonel of the Rwandan army, was arrested on 7 January in Toulouse.
The investigation chamber of the Court of Appeal of Toulouse has asked the Rwandan legal authorities for additional details before considering the extradition request.
Bivugabagabo, 53, who was living in Toulouse for several years under a legal status and was employed. His name appears on the list of the 93 people wanted by Rwanda.
The arrests have accelerated since Rwanda and France restarted dialogues for a re-establishment of diplomatic relations.
The French-Rwandan ties worsened after French investigating Judge Jean Louis Bruguiere accused the current head of state, Paul Kagame, being a link to the attack against the plane of President Juvenal Habyarimana on April 6, 1994 which sparked the killings.
Nine close aides of the Rwandan president have since been the object of international arrest warrants.
© Hirondelle News Agency