Charlton boss Nathan Jones told Sky Sports:
"It's a little bit of relief and a little bit of euphoria.
"We've been on a wonderful run and we've been a good side for a while.
"We brought Matty Godden here to score goals - you rely on good players to get you goals and he's as good as we've seen.
"We'll let them loose tonight and tomorrow and then we're back on it.
"We've gone from 18th to Wembley in a year and we don't want to stop here."
Wycombe manager Mike Dodds told BBC Three Counties Radio:
"The two legs panned out how I thought they would with two really good teams locking horns.
"The bit that's hard to take is that the one moment of the tie has landed to them and there's a lot of emotion now.
"When teams are so evenly matched, you have to take those moments and unfortunately we were on the wrong side of the fence."