Morecambe 1 Bradford City 1: Hannah rescues point for Bantams
New manager Parkinson handed debuts to midweek signings Matt Duke, Kyel Reid, and Jamie Devitt, the latter starting from the bench.
Nahki Wells is away on international duty with Bermuda while Lee Bullock, Simon Ramsden, David Syers and Steve Williams remain sidelined through injury.
Huddersfield Town have been drawn at home to Bradford City in the second round of the Johnstone’s Paint Trophy at the beginning of next month.
The draw also presented another derby encounter with Rotherham United down to entertain Sheffield United.
On the pitch, the Bantams fell behind on 57 minutes when Izak Reid fired home for the hosts.
And it looked like being a miserable afternoon for City until Jack Compton set up Sheffield-born Ross Hannah - a second-half substitute - who netted in the third minute of stoppage time.
For full reports and reaction read Sports Monday inside the Yorkshire Post.