Originally Posted by
SEA737
You can in business class (not in first, as mentioned above). Availability will be poor however, especially if you book between JFK-LAX only (as opposed to with a connection to somewhere else as a married segment). The AA forum has plenty of discussion on the poor availability.
They definitely don't withhold SAAver space from partners.
They often have economy web special awards priced in miles below saaver when saaver itself is not available and therefore not accessible to partners. So yes they definitely have their way to limit partner availability.