Without knowing the exact fare purchased it is hard to say for certain, however looking at AA's fares, I think that you may get some credit

Looking at one way fares for October the lowest ones on EF show
O : $386
Q : $520
N : $565
S : $655
V : $790

with lowest r/t fares showing as

O : $151
Q : $300
N : $350
S : $450
V : $600

All of these r/t fares are cheaper than the equivalent o/w fares. There are $200 surcharge and $200 additional taxes on r/t vs one way.
With around $220 additional fare component , would seem that might get around $180 residual

You would only be able to use this for US originating travel