I'm not completely sure what you're asking, but, if you're asking what I think you're asking, you should be able to create a "global_vars.gd" script that extends Node and contains a global_arrow_rotation variable. Go to Project > Project Settings > AutoLoad, find the script, and give it a name like so...
Now, add the script and make sure Singleton is enabled.
In the arrow's script, write something like this...
global_vars.global_arrow_rotation = rotation
Finally, from any other script, you'll be able to access the arrow's rotation as global_vars.global_arrow_rotation
.
I hope this was helpful!