Meanwhile "Black Swan" actress Natalie Portman's Disneynature documentary "Dolphin Reef" will premiere alongside "Elephant" on April 3.
It was believed that Meghan recorded her voiceover in November a year ago, before she and Harry took a six-week break in Canada with son Archie. In January, Meghan and Harry announced that they have made a decision to put some distance between them and the royal family.
A trailer for "Elephant" shows that it "follows one family's extraordinary 1,000 mile journey across Africa on an adventure that will change their lives".
Harry was last seen in public with his father at a Commonwealth Service at Westminster Abbey on March 9, with other key members of the royal family, including his brother Prince William and sister-in-law Kate, Duchess of Cambridge.
This comes after Harry was filmed reportedly pitching Meghan for voiceover work to the Disney company's former CEO, Bob Iger at the United Kingdom premiere of The Lion King previous year.
Earlier this week, Al Jean, showrunner for The Simpsons said he would also welcome working with Meghan.
This comes after her husband, Prince Harry, was overheard to have to lobbied former Disney CEO Bob Iger to help his wife get voiceover work.
He refers to the continent at his "second home" and most recently visited it in October, where he and Markle performed an official royal tour and filmed the documentary: "Harry & Meghan: An African Journey".
"Meghan said Harry's been in touch with his dad", the source told the outlet.
They carried out their final royal engagements this month and will step down officially on March 31.
"So if they're reading this, give us a call!" he added.
"Harry is looking straight ahead at his future with his family", another source said.