What?! menus does not support controllers?! but even in the game i can't play with those (PS4 controllers with/without DS4)!
And... the "shop" are supossed to not get clicked? are you even planning on adding english language at least?
If you're using a DualShock controller, please go to Options > GamePad Select and select your controller there.
If it still doesn't work after selecting it, I'll look into the issue.
The Shop is still a WIP. You shouldn't be able to click it yet — that's a bug.
English localization is planned, probably after the beta.
thanks!