Responding to a fan question on Twitter, the A-Team helmer said that Joel Edgerton would have been "tremendous" as the Marvel Comics hero.
Carnahan was recruited by Fox to bring the 'Man Without Fear' back to screens, but the studio was unable to push the project in development before its licensing agreement with Marvel Studios expired.
Earlier today, the filmmaker was confirmed as director on another comic book project - Undying Love, which is based on an Image Comics series by Tomm Coker and Daniel Freedman.
He is also working on a screenplay for the movie adaptation of Mark Millar's creator-owned series Nemesis with his brother Matthew.
Marvel Studios is yet to announce its future plans for Daredevil.