I have problems with opening graphical files picker on Linux in Flutter, Flutter just cannot do it "from box" on Desktop. I am using Flutter 1.24.0-3.0.pre to get Desktop support in Dart.
So, how to open it on Linux?
(I've created this question after solving it, for sharing answer to you)
There is a plugin for this that works on all the desktop platforms, and supports both open and save panels.