I called AA and they said there is no room available with Iberia.
There are 3 seats available in business on 6/28. If they don't see it when they look for the whole trip, have them look at each flight by itself
Date Carrier Flight From Depart To Arrive St Availability
----------- --------- ------ ---- -------- ---- -------- --- -- ------------
28 Jun 2011 IB 6252 JFK 21:00 MAD 10:15 +1 CS3
28 Jun 2011 -> IB 3748 MAD 16:05 +1 TLV 21:45 +1 CS3