The Marvel Comics superhero is widely tipped to be next in line for his own movie, and Wright has been linked with the adaptation for some time.
Kevin Feige, president of Marvel Studios, previously revealed that an Ant-Man movie is "as close as it's ever been" to happening, though it is yet to receive the green light.
Marvel's latest blockbuster The Avengers is breaking box office records around the world. Ant-Man was a founder member of the titular superhero team, but failed to make the roster for the film.
Feige recently addressed the character's exclusion from the film, explaining that he might have made the cut if an Ant-Man solo film had been released in the run up the Joss Whedon-helmed team-up project.
Ant-Man is expected to be announced by Marvel later this year.