The Norwegian left Merseyside for Italian outfit Roma in 2008 after seven years with the Reds and returns for the first time since departing.
Riise made a reputation for himself for his goalscoring ability from long-range, but since joining the Cottagers the 31-year-old has failed to get on the scoresheet and the full-back is looking to break this drought at his former home.
He told Fulham's official website: "I know the fans and some people are wanting me to score. Believe me, I do as well.
"I've been very close and sometimes you need a bit of luck for them to go in.
|8/1||John Arne Riise is 8/1 with Paddy Power to score at any time in Fulham's meeting with Liverpool.|
"Because, it's not like I'm shooting from five yards. I have to shoot from 30 yards and things have to happen.
"Maybe it can happen at Anfield."
Riise admits Tuesday evening’s game at Anfield is one of the initial reasons he wanted to come back to the English top-flight and is looking forward to the match.
"It was one of the first games I was looking for because I always wanted to come back," he said.
"Now, I'm going to be playing against them and it's emotional.
"I'm feeling a little bit - not nervous - but it's tickling a little more than usual, so I'm looking forward to it."
It will be Fulham’s second game on Merseyside in four days, after defeat to Everton at Goodison Park and Riise admits the game across Stanley Park will be just as difficult, but insists the west London outfit will go into the fixture confident.
"We always play some good football away from home as well but we haven't got the results we maybe need or deserve," the Norwegian explained.
"So, we're going into the Liverpool game really confident and hopefully we can play good football and get something out of the game.
"But it's a tough place to go to. They want to improve on their league position as well, so it won't be easy."
Meanwhile, Cottagers' manager Martin Jol will return to the dugout after suffering a chest infection last week that prevented him from taking charge for the loss to Everton.
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