I have fb chat turned OFF, why does it still show I'm available? Or active?

I use fb on my mobile app for iPhone and I don't have chat on. It's 3am and I just came to open my app and I was ignoring someone lol and they said hey wyd on Facebook. Like what? I didn't know people could see even when I'm active! How can I change this?

You Turned it Off But it Will Still Show you on the Chat List There's No Way to Turn That Off Completely Turning Chat Off Just Makes it So You Won't Have the Green Dot On the List

You should go to chat list and select unavailable, busy etc. As per your choice…