Although you can do a lot with the plugin as explained in a post at WpBeginner, but in this post, I am sharing with you, how to hide comments in WordPress dashboard from non-admin users. The comments menu will be hidden as well as comments info displayed on the "At a Glance" section of the dashboard.
First thing you need to do is install and activate the Adminimize plugin. Upon activation, visit Setting » Adminimize to configure the plugin settings as explained below:
1. Click on "Menu Options". Disable "Comments 1" for Authors, Editors, and Contributors. Click "Update Options". This will hide the "Comments" menu item on the dashboard.
2. Scroll up to the main options and click on "Dashboard Options". Disable "At a Glance" and "Activity" for Authors, Editors, and Contributors. Click "Update Options". These will hide the comments info on the dashboard.
You can instantly confirm the changes if you've installed User Switching plugin. The plugin simply lets you switch between user accounts in WordPress.
I hope this helps.