So according to this post from Nintendolife, Keisuke Kikuchi shows his desire to continue the series but states that the decision is up to Nintendo. So from that it sounds like they haven't even started working on something at the moment which is kinda weird considering that the last game was released 6 years ago.
Surprisingly enough they ask him about remasters of Fatal Frame 2 AND Fatal Frame 4( seriously people still waiting for that ?) on the Switch and actually he says that he hasn't given up to that idea, but " in the sort-term it's not exactly realistic at the moment"
Edited by GregZerO, 05 April 2020 - 05:48 PM.