"I want to address what is one of the most thoughtless, insensitive, and ignorant things I’ve ever done,” she wrote on Instagram.
The docuseries Depp v. Heard is slated to hit the streaming service next month.
The Aquaman actor moved abroad after a highly publicised defamation trial with ex-husband Johnny Depp.
The Aquaman star wrote on Instagram that she'd made the "very difficult decision to settle the defamation case brought against me by my ex-husband".
The stars are still battling over a defamation case that went largely Depp's way.
The Aquaman star's ex-husband Johnny Depp sued her for defamation last month.
In documents filed on Friday, the Aquaman star’s team said a mistrial ought to be declared.
The Aquaman star's legal team have claimed the verdict was not supported by the evidence presented during the six-week trial.
Of the high-profile trial, Heard also said: "I have never felt more removed from my own humanity. I felt less than human."
"I don’t blame them. I actually understand," she said of the jury. "He’s a beloved character and people feel they know him. He’s a fantastic actor."