A quiet match burst into life on 48 minutes when Bradford were awarded a penalty kick for a foul on Luke Wilkinson.
Sam Williams stepped up for the home side but could only fire his spot kick wide of the target.
Dagenham made Williams pay for that miss 20 minutes from time when Luke Howell drove home from just outside the penalty area.
Parkinson's gamble was rewarded seven minutes from time when Hanson fired in from close range.
Bradford could not force a winner late on as Wayne Burnett picked up a point in his first match as Daggers' interim manager.