Open Facebook Messenger
Tap your profile picture (top-left or top-right)
Tap Privacy
Tap Active Status
Toggle Active Status off
Go to your Facebook account settings
Open Settings and privacy
Tap Settings
Tap Permissions
Tap Active status
Turn off Active status
To stop messages without deactivating Messenger: open the chat
Tap the contact name
Tap Privacy and support
Tap Block
To stop receiving notifications: open Messenger
Tap your profile picture
Tap Notifications
Turn off message notifications
To stop Messenger from running in the background: open your phone Settings
Go to Apps
Select Messenger
Tap Battery
Choose Restricted/Background restricted
To fully deactivate your Facebook account (stops Messenger use): open Facebook
Go to Settings
Tap Accounts Center
Tap Personal details
Tap Account ownership and control
Tap Deactivation or deletion
Choose Deactivate account