Mourinho has been without a job since being sacked by Manchester United in December and after links with Real Madrid and Inter it's been reported in French media that he's next venture will be in Ligue 1.
According to L'Equipe, Mourinho could join Les Gones or AS Monaco for the start of the 2019/20 campaign.
And Genesio, whose contract expires at the end of this season has surprisingly welcomed the idea of the former Real Madrid boss succeeding him.
"We can only respect Mourinho," he told reporters, as per Marca. "He's a coach who has won everywhere he's been.
"He is maybe not the one I identify with personality wise, but I respect him a lot regarding his records and achievements in football. He's won everything.
"Everywhere he's been he's won a trophy. He's won Champions Leagues. Obviously, he's a great coach, so, if he succeeds me it would be an honour."