There are two ways noted below.
Adjust email notifications from Facebook
1. Select the drop-down menu next to the “Home” tab at the top right of your Facebook page.
2. Select
Account Settings.
3. Click
Notifications at left column menu.
4. Scroll down to the “All Notifications” section and click
Other Applications.
5. Check the box for FarmVille.
Go to accounts.zynga.com.
1. Click the
Connect with Facebook icon.
2. Log in using your email address that you use when playing the game.
3. Click
FarmVille from the list of Zynga games.
4. Click
No to the right of the different notifications provided to disable them.
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FarmVille Game GUIDE