Board Thread:Manga/@comment-32563139-20170717125925/@comment-1327106-20170717154527

There's no official explanation as of yet.

My personal feeling is that the unseen paths that connect the Titans and their wielders works both directions. In other words, a holder of the Power of the Titans can glimpse the memories of a person they inherited from (the past), but the also the memories of a person who *will* inherit from them (the future).

I can't check the manga right now, but I believe the line that Krueger is telling Grisha (about saving Mikasa and Armin), is a line that Grisha later tells Eren Y when he gives him the injection. So Krueger is seeing Grisha's future memories.

A lot of people think Krueger is seeing something from Eren Y, but given the wording that makes no sense, because if those were words were spoken by Eren Y, he would be entrusting Mikasa and Armin's future to someone else.