Export and Import from Aseprite

First of all, you have to tag all of your animations:

Now you can export it, go to File > Export Sprite Sheet:

Now, change all of the squares marked in red, here's the Item Filename text {tag}{tagframe0000}:

You should now be able to import it in-game on Character Editor just like how you do it with Animate .fla files!

If you want to use it in source code, you can do the following: spr.frames = Paths.getAsepriteAtlas('file-path')