Fans flooded Twitter in support of the 56-year-old Hollywood star after a leaked audio recording was published in which Heard admitted to "hitting" Depp.
Producers allege Heard colluded with "London Fields" director to cut sex scenes.
The Hollywood actors finalized their divorce out of court Tuesday.
Heard's girlfriend of five years Tasya van Ree says a 2009 incident was "misinterpreted and over-sensationalized."
iO Tillett Wright hit out at reports Heard showed no visible bruises after the alleged assault.
Colbert's apology to Australia, which aired on "The Late Show", is one of many memes to hit the web.
Barnaby Joyce says Depp "won't get an Academy Award" for the video. Ouch.
The Hollywood actors offered a groveling apology to Australian officials as Heard escaped conviction in court.