Escudé is best remembered for the vital role he played in the 2001 Davis Cup final against Australia on the grass-courts of Melbourne.

Two days later, Escudé won the decisive fifth rubber for France against Wayne Arthurs in four sets.

The right-hander reached his highest individual ranking on the ATP Tour on 26 June 2000, when he became World No.

In 2006, he announced his immediate retirement from the sport due to a persistent shoulder injury that had been keeping him out of the professional tennis circuit for the past 22 months.

He was also the co-coach of Nicolas Mahut for the 2013 season with Thierry Ascione and from 2013 to 2015 of Jo-Wilfried Tsonga.