How do I export/import animated sprites?

The only method I see now is to ask animators to prepare things in a separate project "animations", open both working project and "animations" then copy/paste sprites from one to another.

Is there an ability to export those the same way we do with plugins? To some kind of ".c2sprite" file?

You can export sprites in batches "Select files..." or from spritesheets, where you set the number of vertical and horizontal columns in a sprite sheet, but from spritesheets can be finicky with having some sprites overlap in a frame.

Nonono, what I mean is when you have created a sprite with, for example, 5 different named animations, like "Idle", "going", "jumping", etc., and you want to export the entire sprite with all those animations as a separate file - is this kind of thing possible to do?