Various news outlets in France have suggested that after opening talks the club are close to appointing the former France coach.
The Parisians, who won Ligue 1 last season, are looking to replace Real Madrid bound Carlo Ancelotti.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.