These steps can resolve the issue of How to logout of Facebook messenger Step 1) Open the Facebook application and click on the menu option.
Step 2) In the menu option, click on the “Settings and Privacy”> “Security and login”
Step 3) Go to the “Where you have logged in” option.
Step 4) Select messenger and click the log out button.
Step 5) After this, you will be log out of Facebook messenger on Android.