Facebook list of ‘Restricted’ contacts

There's no direct way of getting Facebook contacts to Gmail especially since a spat between Google and Facebook re social graph ownership. There is, however, a roundabout half-way of doing it via Yahoo Mail.

Yahoo Mail allows download of Facebook friends' emails. Then, if you can sync up Yahoo and Gmail you'll get to your target.

This second bit also got trickier since the great contacts sync tool Plaxo removed scheduled sync of Yahoo accounts... They still allow manual pull of contacts from Yahoo (as well as Facebook, as a matter of fact) but it's not real syncing.

This is the closest you can easily get to in terms of getting your Facebook friends into your Gmail contacts permanently.

It is possible to remove the binding to these services at any time.

Resolution
To disconnect your Google or Facebook account from Yahoo!:

1. Sign in to the Yahoo! Account Information Page
2. On the sign in form, click Sign in with Google or Sign in with Facebook
3. Enter your Google or Facebook login information
4. Click Manage Other Accounts to Sign-in
5. Click Remove next to the Google or Facebook icon. A pop-up dialog box will open prompting you to confirm the action
6. When finished, click Sign-out at the top of the page

From this Yahoo help page.

Deleting the Facebook contacts from Yahoo is the same as for any other contact.

Deleting Facebook contacts is the same as deleting any contact. There are no special measures that must be taken simply because the contact was imported from Facebook.

You can see the contacts of your most recent Facebook import by going to View and selecting View Last Import.

Note: If you have done multiple Facebook imports, you will only be able to see the results of your most recent Facebook contact imports.

From How to delete Facebook contacts.