In an interview with IGN Zelda producer, Aonuma, had this to say:
“I would like to take what I learned from Breath of the Wild and see if we can somehow fuse those learning points into another multiplayer Zelda,” Aonuma told IGN at E3 2016. “For example, with Triforce Heroes, which followed a similar format of Four Swords, there was a multiplayer involved in that game.”
“That’s definitely a possibility and we will continue to [experiment] throughout the Zelda franchise,“
Multiplayer was one of the conventions of Zelda that Aonuma went out to change, but it sounds like it will not be featured in this game, but they wish to take what they have learned while developing Breath of The Wild to implement some form of multiplayer in a future Legend of Zelda title.