Seven-goal striker Hanson wasted a glorious opportunity to give the Bantams victory when he weakly sent a close-range free header straight at Shrimps stopper Barry Roche 10 minutes from time.
Parkinson said: "It was the one great chance of the game and I'm sure he will still be wondering how he hasn't scored.
"It is the sort of chance you need to put away in games like this, it's as simple as that. But he hasn't and we will move on and a point away from home against a side enjoying a good run at home is not a disaster.
"I asked the lads for a response after the defeat against Rochdale at the weekend and I am happy I got that.
"It was a tough game but one I think we deserved to win on the balance of play. We changed things in the second half and Kyel Reid and Nahki Wells gave us fresh legs and we ended the game on top but just couldn't get the breakthrough we needed."