The striker earned Chelsea a place in the FA Cup final when he latched on to a superb long pass from
Frank Lampard to score and clinch a 2-1 defeat of Arsenal.
Lampard had already set-up Florent Malouda's first-half equaliser as Chelsea made light of Theo Walcott's 18th-minute strike to book their Wembley return at the end of May.
Drogba's eighth goal in nine games ensured Chelsea remained on course for a trophy treble.
The Blues are still in the hunt for the Barclays Premier League title and face Barcelona in the Champions League semi-finals.
But the Ivory Coast international maintains that all their hard work and effort will mean nothing if they to fail to win something before interim coach Guus Hiddink leaves at the end of the season.
"I am in very good form at the moment and we are in the final of the FA cup and the semis of the Champions League," said Drogba.
"We are a bit behind in the league but we are still there. But the season will only be good if we win something otherwise it is a failure.
"The best thing would be to win something. This win is just a stepping stone. It is really exciting to be in the FA Cup final. But it is only nice when you win the trophies.
"I would not call myself a hero. I am just happy because the goal helped us qualify for the final. But the goal Florent Malouda scored was more important because it put us back into the game.
"But nobody spoke about my first-half performance - it was not my best half."
Drogba refused to be drawn on whether the players want the Dutch coach to stay at Stamford Bridge.
"Everybody here is trying to make him feel happy here and enjoy his stay," added Drogba.
"We try to perform and Chelsea have always been good in the last two months of a season and that is what we are trying to do now.
"Guus is doing well with us but it is his decision whether to stay or not and we have to respect that.
"When you are on the pitch and see how he changed the game by putting Michael Ballack in front of the back four and Michael Essien further forward, you know the guy has a lot of experience."
Drogba also paid tribute to midfielder Lampard who supplied the passes for the goals.
"The quality of his passes is fantastic," said Drogba. "He doesn't need to look, he just knew I was going to be there. He deserved the man-of-the-match award - he is the best."
Chelsea's victorious captain John Terry hailed Drogba as the best striker in the world after his match-winner put the Blues into the final against Manchester United or Everton.
"Didier has been in great form of late and long may that continue," said Terry. "Because when he plays like that, even if you're the strongest defender in the Premiership or the world you are not going to get near him.
"He pins people back - he was chucking big defenders on the floor today! His link-up play is good and we saw in the end he's got a great finish as well. Long may his goals continue."