According to him, the movie is not going to do for Superman what Batman Begins did for Bruce Wayne. In fact, he seems to believe that it will have a lighter tone, while still looking as though it came from the Nolan universe of DC Comics movies.
"I wouldn't want people to think we're doing for Superman what we did for Batman. It's very much Zack Snyder's film and I think people are going to love what he's done. I think it's really remarkable to take on that character. Superman is a completely different character than Batman. So you can't in anyway use the same template. But David S. Goyer had this, I thought, brilliant way to make Superman relatable and relevant for his audience. Zack has built on that and I think it's incredible what he's putting together. He's got a lot of finishing to do on that. Superman is the biggest comic book character of them all and he needs the biggest possible movie version which is what Zack's doing. It's really something."
Some speculate that Christopher Nolan will have a hand in overseeing and producing DC Comics and Warner Bros. superhero ensemble Justice League. He doesn't give a clear answer, but insists what he has always insisted. That his story of Batman is complete, and it will not continue on in Justice League.
"As I've said, and I'll say definitively again, I am done with the Batman films, the trilogy is completed. It ended in the manner we had envisioned."
As you can see, that answer does not address Justice League specifically, as it is not technically a "Batman" film. He could totally be pulling a George Lucas here.
Man of Steel was released June 14th, 2013 and stars Henry Cavill, Amy Adams, Michael Shannon, Diane Lane, Russell Crowe, Antje Traue, Harry Lennix, Richard Schiff. The film is directed by Zack Snyder.