Please follow below mentioned steps to disable AWSTATS for website.
- Login to WHM and find Server Configuration.
- Go to Statistics Software Configuration.
- Find the concerned user and enable / disable the rights.
To remove history from cPanel, follow below mentioned steps.
- Login into cPanel.
- Go to File Manager.
- Select Home directory and click Go.
- Navigate to tmp/awstats folder.
- Move the files to a backup folder for future reference, or delete them from the directory.