Hi, DimKiu92.

If you mean for the front-end editing,  to allow specific User Roles only to be able to add new rows/edit/ delete rows on tables;

you can create Editable Tables,  and then in the table settings/Editing,  set up which User Roles will have editing rights;   in the "Editor Roles" section;

then only these roles will be able to edit the table(s)

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2. If you meant to allow other user roles to see the tables in the back end ( for other users which are not Admin),

To allow another user role ( other than Administrators) to see the tables in back-end, 

you can enable "manage_options" capability through User Role Editor:

Then this User Role will also be able to see and edit tables in back-end.

You can check here on the official WordPress documentation, to see more details about the permission :

https://wordpress.org/documentation/article/roles-and-capabilities/#manage_options

I hope that helps.

Thank you.

And i just wanted to point out that you can try wpDataTables before purchasing

 on our sandbox Demo sites ( you can find links for the main plugin Demo,  

as well as add-on Demos, in my signature),

and there is a 15-day money-back guarantee period, 

so if you purchase the plugin, you can safely fully test it out, and if it doesn't fit your needs you can request and receive a refund in that period. ( same goes for all plugins and add-ons)

Let me know if you have any additional questions.