Who can manage Lists? Follow

Users with “Manage Lists” rights can create, delete and update Lists.

To Assign Roles and Permissions for Lists. Please perform the following steps. 

• Navigate to the Profile Icon on top right corner.
• Go to Setup
• Head over to Profile Permissions under Users & Security.

• Edit the relevant Profile
• Under Admin Operations Label Enable - "Manage Lists"

By default, Administrator users will have "Manage Lists" permission enabled.