Just fixing some formatting issues.
Relevance:
mac of operating system
exists file ("/Users/" & name of logged on user & "/Library/Preferences/com.parallels.Parallels Desktop.plist")
not exists file ("/Users/" & name of logged on user & "/Library/Preferences/com.parallels.Parallels Desktop.plist") whose (integer "Application preferences.Check for updates" of dictionary of it = 0)
Action
wait defaults write "/Users/{name of logged on user}/Library/Preferences/com.parallels.Parallels Desktop.plist" "Application preferences.Check for updates" -int 0
wait chown {name of logged on user} "/Users/{name of logged on user}/Library/Preferences/com.parallels.Parallels Desktop.plist"
wait chmod 755 "/Users/{name of logged on user}/Library/Preferences/com.parallels.Parallels Desktop.plist"