The game ended 2-2 after a good fightback from the Cottagers, but it could have been an even better result for the visitors had Zamora taken his golden chance.
But Damien Duff and Clint Demsey were both on the mark to give Fulham a share of the spoils.
Afterwards, Hodgson said: "Unfortunately people who watch on the TV will see the miss and they won't see the 96 minutes and 45 seconds in which he was absolutely magnificent.
"It should have been seen as the crowning moment of a great performance.
"Instead it is going to be seen as a glaring miss and a blot on his copybook, which is sad for him.
"But if you want a good example of the character and resilience of this team and its ability to bounce back, Bobby's performance in the last 30 minutes shows that."