Harry Potter and the Prisoner of Azkaban helmer Alfonso Cuaron, A Dangerous Method's David Cronenberg and Babel director Alejandro Gonzalez Inarritu are among the names being touted for the coveted job.
Ross stepped aside as Catching Fire director on Wednesday (April 11), citing issues with the sequel's rush to go into production.
"As a writer and a director, I simply don't have the time I need to write and prep the movie I would have wanted to make because of the fixed and tight production schedule," he said.
Collins, who is also a producer and co-writer on the movie franchise, is said to be "much more interested in quality filmmaking than box-office prowess".
Furthermore, Lionsgate also wants a director without ego who can work with a large cast and supervise script rewrites with Collins and Simon Beaufoy. Catching Fire is currently scheduled to go into production in August to make a November 22, 2013 release.
Jennifer Lawrence, Josh Hutcherson and Liam Hemsworth will all reprise their roles as Katniss Everdeen, Peeta Mellark and Gale Hawthorne in Catching Fire.
The Hunger Games is Lionsgate's biggest ever box office hit having grossed more than $450 million at the worldwide box office.
> Hunger Games Jennifer Lawrence interview
> Hunger Games Josh Hutcherson interview
> Hunger Games premiere interviews
Photo gallery - view the latest Hunger Games pictures below: