Gasquet rolled over Go Soeda 6-0, 6-2 in 63 minutes. Gasquet cashed in 5-of-6 break-point chances while saving all seven that Soeda managed. Gasquet won two-thirds of the points in the match after losing a mere nine in the first set.
He was the only seeded player on Tuesday's schedule. The top four seeds, including No. 1 Jo-Wilfried Tsonga, had first-round byes.
Nicolas Mahut had 12 aces and three breaks in a 6-3, 6-4 win over Arnaud Clement while Nikolay Davydenko was a 6-1, 7-5 winner over Andreas Beck and Igor Kunitsyn topped Roberto Bautista-Agut 6-4, 6-4.
Albano Olivetti beat Matthias Bachinger 6-4, 6-3 and David Goffin was up 6-2, 1-0 when Adrian Mannarino retired. Olivetti next faces second-seeded Mardy Fish and Goffin meets No. 3-seeded Janko Tipsarevic in the second round.