Hodgson, who has challenged his team to improve on their run to the quarter-finals last season, said: "They are sitting pretty in League Two, but for glory they need to knock a Premier League team out of the FA Cup.
"We did quite well in the cup last year, and reached the sixth round.
"It was a nice experience and we would very much like to repeat it.
"If we could go further, why not?"
The Cottagers have lost their last three league matches, and although the temptation may be to focus on arresting that poor run when they face Tottenham next Tuesday, the game against Stanley is foremost in Hodgson's mind.
"It sounds boring, but we do it simplistic and take it one match at a time," he added.
"We have not mentioned Tottenham at all this week, it has all been about Accrington.
"We have talked about the type of play we can expect and have done our post-match analysis from the previous match against Blackburn to try to get those things ironed out.
"We know it is going to be a different situation for us going there. It is going to be a much smaller ground, the quality of the surface will not be as good as we are used to."
Acc. Stanley v Fulham To Score 5+ Goals: Fulham 18/1
Source: Team Talk