Email Subscribers plugin have option to change user role for the plugin menu. You can easily update the user roles and manage role capabilities. It provide 3 level of access rights “Administrator Only” “Administrator/Editor” “Administrator/Editor/Author/Contributor”.
Administrator Only : Users who has Administrator level access can access this menu.
Administrator/Editor : Users who has Editor level access can access this menu.
Administrator/Editor/Author/Contributor : Users Author/Contributor level access can access this menu.
Official Page with Live Demo