Stanley now welcome League One Gillingham for a third-round clash in January and Coleman is adamant it will be his side's name in the draw for the next round and not Mark Stimson's.
Coleman said: "Some of the lads are singing about going to Wembley. I don't know where they get that idea from, certainly not from me. But I am happy to just be in the next round and I fancy ourselves to progress further now we are going to be at home.
"With the chances that we missed I thought we were in danger of being caught out but we showed a steely determination and I thought we were thoroughly deserving of our place in the next round.
"We had a flat spot for 20 minutes of the second half but we weathered that storm and could have scored another four or five towards the end."