I just did it this morning. I can confirm that zeneport works.
I just chose a spot up the corridor past the foot pad. Then I walked back to the foot pad. I was able to complete the rest of the dungeon with no issue. Even caught some kind of glowy butterfly which was a first for me.
Zeneport can be a little tricky. I tried doing the same thing in China and ended up three floors below where I wanted to go. So it's not 100% foolproof. But it can work.