Restore Backup Access Denied

Maybe a little hacky, but I solved the issue by copying the .bak file into the designated backup folder. That way I didn't have to change any permissions.

You need to give permission to that folder to the user account that SQL Server acts as. In my case it was NT Service\MSSQLSERVER

You can find/change the SQL Server user in SQL Server Configuration Manager. Here's a link that shows how:

http://www.bidn.com/blogs/ShawnHarrison/ssis/2134/access-denied-during-database-backup

Sounds like the service account that SQL Server runs under does not have permission to folder C:\Clients\SQLitis.

When SQL Server was installed, it hopefully was set up to use a domain user account (the "service account") that is NOT an administrator on the machine. As such, the SQL Server installer only grants permissions to the folders the SQL Server setup creates.