According to Jim Bowden of ESPN and SiriusXM, Zack Greinke's deal with the Dodgers does not include a no-trade clause.
It was anticipated as such, as neither Matt Kemp nor Andre Ethier received no-trade clauses when signing their deals. It's unlikely that the Dodgers will want to move the prized right-hander before his deal is up, but they'll always have the option if it's something they'd like to pursue.