Following City's outstanding fourth round victory at Premier League leaders Chelsea, Phil Parkinson's men will now take on either Sunderland or Fulham at the Coral Windows Stadium over the weekend of 14/15 February 2015.
Having watched the draw live with some of his team-mates, joint-chairman Mark Lawn and a small section of supporters in the 1911 Club at the Coral Windows Stadium, Davies acknowledges that City were always likely to receive a challenging tie given the amount of Championship and Premiership sides left in the hat.
But with City almost guaranteed to receive the backing of their legendary vocal support when the match does come around next month, the imposing defender knows the Bantams could cause an upset again.
Davies said: "It is an exciting draw for us - it is certainly good to be back at home.
"There should be a big crowd in the stadium for the match and it will be a big occasion that we will all be looking forward to.
"Both Sunderland and Fulham are good sides but we will have confidence in our own ability and we'll think we have a chance of winning the match.
"I don't think there will have been too many teams wanting to get drawn against us at the moment, especially here at Bradford.
"Football seasons can be long and challenging periods so it is nice to enjoy the cup wins like we had on Saturday and events like this where we can come together with the fans to watch the draw.
"The F.A Cup is one of the best competitions in the world and it is nice to still be in the hat."
Following the amazing victory over Chelsea, the club have understandably received nationwide exposure over the last few days.
As much as the extra media attention is welcomed by the Bantams though, Davies acknowledges now is the time for City to turn their attentions back onto their league campaign and focus on this Saturday's home fixture with Colchester United.
Davies added: "We were all buzzing at the weekend and obviously we've had all our friends and family talking about the match.
"You still have to pinch yourself a bit but our minds have to quickly turn back to the league and Colchester United on Saturday.
"I'm sure the fans will be right behind us for the game. We'll take any applause we get from the crowd but we also know that we'll have a job to do on the day.
"People may see these cup matches as a distraction but when we got to the Capital One Cup Final a couple of seasons ago it gave us a lot of confidence and it helped us to go on and eventually win promotion.
"Wins like the one we have just achieved in the cup can only breed confidence among the boys and we'll look to go again on Saturday."