The Lady Bird filmmaker became attached to the Barbie movie two years ago, taking over script duties after plans for the movie went through a number of outfit changes over the years.
Amy Schumer was originally going to play Barbie in 2016 before dropping out.
Anne Hathaway reportedly replaced Schumer, but has since been replaced by Harley Quinn actress Margot Robbie, who is involved in producing the project after also working behind the scenes on I, Tonya, Birds of Prey and Promising Young Woman.