The three-time Tour de France winner was one of 25 athletes to have their confidential therapeutic use exemptions listed on the 'Fancy Bear' website.
Fellow cyclist Bradley Wiggins was another named by the site, as was two-time Wimbledon champion Petra Kvitova.
Froome says he has openly discussed his permitted use of banned drugs for health reasons in the past.
There's no suggestion that the named athletes have done anything wrong, but questions will be raised about how T-U-Es are granted and managed.
