Jetpack menu option visible for non administrators

The Jetpack menu option in the administrative interface of WordPress is visible for non-administrative users

Your subscribers can indeed see and access the Jetpack menu, but they won’t be able to edit your Jetpack settings.

They will, however, be able to link with their own WordPress.com account to use some of the Jetpack features, like Notifications.

If they click on the link ‘settings’ on the page, they get a “You do not have sufficient permissions to access this page.” error.

I made a small change to Jetpack to hide the “Settings” link from the Jetpack menu for subscribers: that will solve the issue.
https://github.com/Automattic/jetpack/commit/a60a5b9ce3c1ba08b979c9e53355d11a3e494304

If that option should be available to subscribers, it should be on a different page then the administrative info and the links to settings. It should then also be explained.

That’s fair. I took note of your remarks here, and we’ll consider making changes in a future Jetpack update.

In the meantime, you can hide the menu on your site with the following function:

function jp_rm_menu() {
    if( class_exists( 'Jetpack' ) && !current_user_can( 'manage_options' ) ) {
        // This removes the page from the menu in the dashboard
        remove_menu_page( 'jetpack' );
    }
}
add_action( 'admin_menu', 'jp_rm_menu', 1001 );