The Cottagers led 2-0 with just 15 minutes left before the visitors scored two goals to deny them the three points.
Fulham are now one point adrift of safety in the table with two games left to play this season.
"It's not easy to describe how everyone is feeling at the moment," Amorebieta told the club's official website. "It was a game we totally controlled and we were able to get the second goal to go 2-0 up.
"They were very lucky to get their first goal. It's true that then they put pressure on us, they came forward and eventually they got the draw. We had our chances at 2-1, but unfortunately we couldn't finish and we ended up drawing the game."
Fulham continue their fight for Premier League survival on Saturday with a trip to Stoke City.