itch.io

Indeed, just copy the saves folder from your old game version folder and paste it into the new game version folder.

Path example from the game folder in pc => corrupted-kingdoms-win-linux\CorruptedKingdoms-0.18.9-pc\game\saves

For android you need some application that can show and open folder inside the game folder which is located inside android\data

All saves are automatically transferred to each new update - just download, extract (or patch if you're using the Itch launcher) and play! :)