The Valiants were 2-0 victors over 10-man Wednesday, having ousted Sheffield United in the first round thanks to stunning goals from Kris Taylor and Robert Taylor.
Adams, who supported United as a boy, said: "I didn't like knocking United out but beating Wednesday was a different matter. Even if we play Manchester United in the next round, this is the tops for me."
He said: "I know people will say we beat 10 men and of course that was a factor but I thought the attitude of my players was spot-on from the start. It would have been a travesty if we had not gone through."
"The game plan was to give Wednesday as little time on the ball as possible and I thought our tactics were spot-on. Every player did their bit and it`s not a time to single out any individuals."