It’s frustrating when you start getting messages on Facebook from people, and you don’t want to talk to them. Awkward. A groovy feature lets you appear offline to specific people, or appear online to friends with whom you do want to chat.
Log in to your Facebook account and click on the name of the person to whom you want to appear as offline.
Then click the gear icon to expand Options and select Go Offline to Person for that user.
You can even add multiple contacts. To do so, click on the Options button under the Friends list bar and select Advanced Settings.
Select All Your Friends See You Except. Then start adding the names of people you have chosen that will see you as offline.
If you just want to appear online to certain people, select the second option that says Only Some Friends See You and start adding the names of the friends who will see you as online.