French striker Giroud was dismissed by referee Andre Marriner in the 90th minute of the London derby at Craven Cottage for jumping into a challenge with Stanislav Manolev.
Arsenal argued that Giroud slipped while making an attempt to control the ball but the FA have rejected that explanation.
Giroud will miss games against Manchester United, Wigan and QPR at a crucial juncture of the Premier League season, and the suspension hurts Arsenal all the more due to lack of options in attack.
An FA statement read: "Following an Independent Regulatory Commission hearing today, Arsenal’s Olivier Giroud has had his claim for wrongful dismissal rejected.
"Giroud was dismissed for serious foul play during his side's game against Fulham at Craven Cottage on Saturday 20 April 2013.
"The player's three-match suspension will therefore commence with immediate effect."
- Sports & Recreation
- Andre Marriner