Failed to create directory - Ubuntu 20.10 | Intellij IDEA CE 2020.3.1
Answered
I'm unable to create any new projects. I'm not sure if it's a directory permissions error but it's a fresh install of Ubuntu 20.10 and Intellij IDEA CE from a snap.

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snap may limit the directories the app can access. Try installing from tar.gz available at https://www.jetbrains.com/idea/download/index.html instead.
If the issue persists, try saving the project in some other location.
That worked. Thank you.
Another issue for creation could be that the folder that you are trying to create is nested in a folder which has been created with root access. Since IntelliJ is not running with root privileges, it won't be able to create the new folder inside the other folder which was previously created with root privileges.