Christian Damiano paid tribute to West Brom's resolve and said he was relishing the prospect of facing Chelsea in the FA Cup semi-finals.
The Cottagers won through to the last four of the competition after a hard-fought 1-0 success against the Division One Baggies at The Hawthorns yesterday with Steve Marlet netting a 47th-minute winner.
Assistant boss Damiano said: "West Brom showed fantastic character. It was difficult to move them. It was the sort of game where just one goal was going to decide it.
"Everyone worked tremendously hard towards our win but there are two more games and a long way to go before this competition is decided.
"This team have the best defence in their division but, in the end, we deserved to get there.
"West Brom were a hard team when we played them in Division One and are a lot stronger this year.
"We try to play good football in every game and obviously we're delighted to be in the semi-finals."
On the prospect of facing Chelsea in the semi-finals, he added: "This would give us a marvellous chance of revenge - the chance to get our own back."
Albion boss Gary Megson was frustrated in seeing his side lose the game from a set-piece, but wished Fulham well for the rest of their involvement in the competition.
"I'm bitterly disappointed to lose in that manner. We didn't defend a set-piece properly and they defended theirs well," he said.
"We've had problems all season dealing with set-pieces and once again it has proved costly. It has cost us the opportunity to go forward in this competition.
"We must take our disappointment on board and make sure it doesn't happen again between now and the end of the season.
"When games are tight, it usually comes down to a mistake, a little bit of individual skill or a set-piece.
"We've got to learn from this. They've got exceptional players and I hope they go on to do well as there's some solace in losing to the eventual winners."