Richard has put himself into contention for a semifinal spot, with a straight sets victory over world number 3, Novak Djokovic, 6-4, 6-2 at the Masters Cup in Shanghai.
In his final round robin match, Richard will play David Ferrer, which is must-win match for Richard to qualify.
Match report from BBC Sport
"Gasquet showed off his dazzling backhand time and again against a lacklustre opponent.
He quickly established a 4-1 lead in the first set, and though Djokovic did break back once, Gasquet coolly served out the set.
The world number eight broke serve again at 2-2 in the second set, triggering a hasty collapse from the 20-year-old Serb."
Read the full report here