"I will sit down with Julian on Monday and I'll do what's best for the club," McCall told BBC Radio Leeds.
"But it's coming to a stage now where it is time for somebody new to come in. It's just not meant to be."
The 45-year-old took over at Valley Parade in May 2007 and threatened to leave at the end of last season after Bradford failed to make the play-offs.
Saturday's defeat by Bury was their sixth at home this season and left the Bantams 12 points outside the play-off places.
And McCall believes the signs are there that it is time for him to walk away.
"I just think it's time now to get a lucky manager in. He might not be the best manager but if he can be lucky that would be good for the club," he said.
"The players have merited more points than we have got this season and we should be ninth or 10th, three or four points off the play-offs and unfortunately we're not.
"I'm hurt because I wanted to be a success here and the bottom line is I haven't been.
"It's not been for a lack of effort and I couldn't have had more support from the players, staff, Julian as the chairman and the fans.
"If there was anywhere I wanted to success it was here. I had two great spells here as a player but the dream I had of being a manager and getting success has not come off."
Source: BBC Sport
Source: BBC Sport