Paris Saint-Germain coach Unai Emery wants to see star striker Edinson Cavani break Zlatan Ibrahimovic's all-time record for goals with the club.
Girard, who guided Montpellier to a surprise Ligue 1 crown in 2011-12, was appointed in the summer.
The agent of in-demand River Plate striker Lucas Alario has said that Paris Saint-Germain director Patrick Kluivert has been in touch.
Marseille have been linked to high-profile players such as Atletico Madrid's Diego Godin and Inter Milan midfielder Geoffrey Kondogbia.
Former Italy international Gianfranco Zola says it's only a matter of time before Mario Balotelli returns to the Azzurri setup.