Under former manager Roy Hodgson, the Cottagers made it to the final in Hamburg where they succumbed to a Diego Forlan winner.
Their campaign had seen them knock out defending champions Shakhtar Donetsk as well as Juventus despite losing the first leg 3-1 in Italy.
After coming eighth this season in the Premier League, Fulham have been awarded a place in Europa League qualifying in June thanks to having the best disciplinary record in the top flight.
And although Hodgson has been replaced by former Manchester City manager Mark Hughes since the final last year, Greening is in no doubt that the Welshman can lead them to similar success next season.
“Last time we managed to combine all four competitions really well and I think we've got the squad of players to do it again," Greening told the club's official website.
"I know the manager wants to add some players as well, so why not. We've done it once, why can't we do it again?
“I don't think coming back early will be a problem. The boys are quite fit anyway and there's plenty of time when we can have days off during the season and I'm sure the lads would rather be playing against some of the best teams in Europe than sat on a beach somewhere. I know I would.
“A club like ours will relish the challenge. We know we're probably a few years off the Champions League, so we should take this chance with open arms.
“I was involved in most of the games two years ago and have great memories – especially the Juventus game.
“The whole tournament really was special. The performance against Shakhtar Donetsk away from home was amazing and being involved in the Final itself, apart from losing, was a great experience.”