A press release from Warner Bros last year stated they wanted to make solo Batman and Superman movies within the timeframe of the slate of DC movies given.

Isn't this 5 years away.

Well he certainly is capable after seeing Mad Max Fury Road.
Zack is focusing on the JL movies so I could see someone stepping in for Zack in the MOS sequel.
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I think he could still make time to direct a Man of Steel sequel. DC already has quite a few movies lined up over the next few years, and with Affleck possibly getting his own trilogy apparently. I think a Man of Steel sequel may not happen for a few more years. Possibly after the two Justice League movies?

Just a rumor. Think he's too focused on the next Mad Max. That's his baby.

No way not with synder and brother on until further notice. It's a rumor nothing confirmed.

I'd rather he spent time working on the next Mad Max.
You'll never get what you want if you don't know what it is.