The Ivorian striker latched onto Frank Lampard's long ball and shrugged off Mikael Silvestre before rounding Arsenal goalkeeper Lukasz Fabianski and slipping the ball into an empty net six minutes from time.
The Blues equalised through Florent Malouda who beat Fabianski at his near post with a low drive.
But Drogba smashed his eighth goal in nine games to set-up a final against Manchester United or Everton at the end of May and Terry was full of admiration for the Ivorian.
"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.
"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.
"Early on in the season we had Nicolas Anelka's goals, Frank Lampard contributes an awful lot, Florent Malouda popped-up with one today and now at the back end of the season Didier is banging them in.
"On that form he's the best in the world for me. I've played against an awful lot of strikers and he's definitely up there with the best.
"It's a total different competition to the Champions League but it means a lot and we've done well in it over the years. It was great to be back here and I would love to get my hands on the trophy and start lifting trophies for Chelsea again.
"It was a great win for us. We went 1-0 down but our reaction was fantastic and we've done that quite a lot recently. The fighting spirit we've shown is really great to see."
While all the talk continues to surround Manchester United's bid for a quintuple, Terry maintains that a trophy-treble is still within Chelsea's reach.
"We've got a very good chance and we'll keep pushing in the Premier League," added Terry.
"Man United and Liverpool are doing very well at the minute but we'll never give in. We've shown that over the last two years, when everybody has ruled us out we've fought and given it a good go.
"We took it to the last game last season and we'll do it again this year. We're in the final now and we've got a massive game in Barcelona in a couple of weeks so things are going well for us. We need to keep this momentum now and really kick on."