McCall's men looked in control throughout in Sunday's decisive semi-final second leg at Fleetwood Town, claiming a goalless draw at Highbury Stadium to win the tie 1-0 overall on aggregate.
The Bantams will now battle it out with Millwall for a place in the Championship in the grand final at Wembley on Saturday 20 May 2017.
A beaming McCall said: "I am just so proud of the players and their achievements to get this far.
"I'm so happy for the fans, who have travelled up and down the country to support us this season.
"They are going to get one more game this season and a day out at Wembley Stadium to enjoy now.
"Your aim as a young footballer growing up is always to play at Wembley and to be a winner there.
"We said to the players before the game 'don't let anyone take your dream away'.
"This group of players have been outstanding all season - they have been a credit to themselves.
"We know we now have a winner-takes-all game, a massive game, with Millwall but just to get to this game after the rebuilding of the summer is a tremendous effort.
"The lads have bought into what we have tried to build and bring to the club from day one really.
"We will enjoy these next couple of days, and we deserve to do so, but, equally, we won't get carried away either. "
City went into Sunday's game with a one-goal advantage from the first leg and, despite Fleetwood's need to strike back, it was actually the Bantams who looked the more likely scorers.
Charlie Wyke hit the post in the first half and Mark Marshall saw an effort well saved early in the second period.
Fleetwood understandably threw more men forward as the game progressed but McCall's men weren't to be denied.
McCall added: "I think we were the better side over the two legs.
"It was always going to be tight - two good defensive records going head-to-head - so we actually thought the odd goal could decide it.
"We have limited them to very little over the course of the game tonight (Sunday).
"You can talk about tactics and formations but the lads have shown their effort and desire to get through.
"They have done their jobs and done everything we have asked of them.
"You can go through the whole team - they were fantastic to a man.
"You obviously get nervous going into a game but I had full confidence in this group of players."