James Collins is desperate for to go one better than the club managed a decade ago.
The 32-year-old was an unused substitute for the Hammers and watched on as Steven Gerrard's injury-time equaliser prevented West Ham winning their first major trophy since 1981, with Liverpool winning on penalties after a 3-3 draw.
The Wales international said that just being part of the squad which made it to a major final was one of the best moments of his career but admitted that he has a burning desire to be on the winning side.
He told the Mirror: "I was involved last time when we got to [the final]. It's still one of the, if not the, biggest highlights of my career so far.
"To go there with such a good team and be on the right side of the result this time would be amazing. We are confident. We have beaten a lot of the big boys in the league and we look forward to the next round.
"The gaffer said he wants to have a right go at winning the FA Cup and why not? We have come this far now."
Slaven Bilic's side sealed their spot in the quarter-finals of the competition with a resounding 5-1 victory over Championship side Blackburn Rovers at Ewood Park at the weekend, a game in which Collins played the full 90 minutes at centre-back.
The Irons will now face the winners of tonight's fifth-round tie between League One Shrewsbury Town and Manchester United at New Meadow in the next round.
Bilic's men must now turn their attentions to a home Premier League clash with strugglers Sunderland next weekend as they look to enhance their challenge for European qualification.
The London club currently sit in seventh place, which would be their highest top-flight finish in 14 years, and are just one point off a guaranteed Europa League spot.