Four days earlier, he started in Jamaica's 2-1 loss against the United States in a qualifier in Kingston.
A former player for Kansas City Wizards and Swedish club Mjallby, Hue was appearing in his fourth consecutive World Cup qualifying campaign.
Jamaica is last in a six-team CONCACAF qualifying group and has little chance of qualifying for next year's World Cup in Brazil.
FIFA said Hue's suspension expires on May 6, 2014, and Fraser's ban runs until Aug. 7, 2017. They can appeal.
Hue is the second player suspended by FIFA for doping in the current World Cup qualifying program.
In March, FIFA banned Peru midfielder Joel Sanchez for two years. He tested positive for the stimulant methylhexaneamine after a 1-1 draw at Bolivia in La Paz last October.
FIFA is currently prosecuting cases against players from Morocco and Zimbabwe after positive tests at World Cup matches.