McCall's men welcome Accrington to the Northern Commercials Stadium at the weekend for their first round encounter in the world's most famous domestic cup competition.
The tie will, of course, be the second time City and League Two Accrington will have met this season after Stanley defeated the Bantams on penalties following after an action-packed match in the EFL Cup back in August.
McCall said: "It was certainly an eventful game when we played them earlier in the season. We created plenty of opportunities but we just couldn't take one of those chances on the night.
"John Coleman's (Accrington Stanley manager) sides are normally well organised and like to play their football.
"We saw that in the first game and we're expecting the same again on Saturday.
"I remember having some tough fixtures at home to Accrington during my first spell as manager here as well.
"We know that their players will be lifted by the size of the stadium and the prospect of playing a League One side.
"They had a disappointing result last time out (3-1 loss to Newport County) but I'm sure they will still be confident of being in the mix for a top six spot.
"We are keen to make progress in this year's competition.
"I love this cup and the magic that it can create.
"I'm sure our supporters will know all about the magic of this competition as well after the cup successes that the club has had in recent years.
"We would love to start out on another cup run this season but we know that we first must overcome a tricky tie this Saturday."