First and business class availability for awards is strong, but online searches via its website can be tricky. (rewardexpert.com)
I may have just caught it at a great time or something, but I definitely wouldn't be surprised to find limited business class availability on AA. (uponarriving.com)
But with their airline partners especially, if you know where to look, you can get good international business class availability to get most anywhere. (viewfromthewing.boardingarea.com)