The singer released a 30-second preview of the track, which features rappers Meek Mill and Rick Ross.
'Triumphant, which is expected to receive its radio premiere later today (August 2), will be released on August 7 and feature on her upcoming album.
She shot the video for the track last month and previously told fans that the song is about "going through a difficult time".
"The message of #Triumphant is very close to my heart and I know you can relate to it too," she tweeted.
Carey was recently revealed as a new judge on American Idol after agreeing a reported $17 million (£11m) deal to join the show.
Watch Mariah Carey's video for 'Obsessed' below: