The 12 Years a Slave composer worked on the musical themes for Christopher Nolan's Dark Knight Trilogy and also scored last summer's Henry Cavill-led Superman reboot.
Speaking to Digital Spy, Zimmer confirmed that he's been asked to return for the Man of Steel follow-up and will begin working on it once he completes the score for Nolan's secretive sci-fi film Interstellar.
"We've already had a couple of chats, and once I finish the movie that I shall not talk about I will probably head over to where Zack is shooting his movie and just hang out a bit and see if we can come up with any ideas," Zimmer said.
The Oscar-winning musician added that he hopes to come up with a new theme for Ben Affleck's Batman, one different from his work across Nolan's films.
"That's my problem, that's my dilemma. I don't want to betray, if that's the right word, the Dark Knight movies. That was Christian, it was Christian's role," he explained.
"It's not just that it was nine years of our lives, so you want to stay honest and honourable to that period. So it's really about, 'Is there something else I can find that I haven't tapped into?' Which I don't know until I sit down with Zack."
Listen to Hans Zimmer's music from Man of Steel and The Dark Knight Rises below:
Hans Zimmer's 10 best movie soundtracks
Gal Gadot, Jesse Eisenberg, Jeremy Irons and Holly Hunter will also star in Snyder's Man of Steel sequel, which will mark the first time that Batman and Superman have appeared together in a live-action movie.
The movie will be released in UK cinemas on April 30, 2016 in the UK and May 6, 2016 in the US.
12 Years a Slave is out on Blu-ray, DVD and download now in the US and will debut in the UK on May 12.
Watch Marvel stars discuss their release date clash with Batman vs Superman below: