Lately, I've seen too many Facebook New Friend Reports in my news feed and it made me use the site and mobile app less, so I set out to find an answer. If you've found this post, it's probably making you crazy as well. No, you can't just turn off these notifications -- you have to convince all your friends…
My apologies for the very tardy reply. I have researched this issue previously. There's no way to disable the latest friends added to your friends list without turning off your friends list entirely. To do so, go to your profile on the website (not app), click "see all" on your friends list, then click the three dots button next to the "find friends" link. Then click edit privacy and adjust the settings however you'd prefer. Hope that helps!