The Bantams' harsh defeat at Brunton Park continued the club's current winless run in League 1 - a sequence of results which has seen City draw eight of their last thirteen games.
Parkinson acknowledges that City's form at present isn't acceptable but he says that only hard work and effort will get his squad out of their current predicament.
Speaking after the Carlisle defeat, Parkinson backed Bradford to get their season back on track sooner rather than later.
Parkinson said: "We know that the run we are on at the moment is not good enough and we have to turn it around. We will keep working to find a solution to it.
"I know for a fact that these lads in our dressing room are hurting as much as I am about this run. You could tell by the look in their eyes that this is really hurting them.
"There are no groups happening here, everyone is together and up front.
"We are honest with each other and that is the way it has to stay.
"We will come through this run. We will get a result soon.
"When we do, we can put this run behind us. As I've said before though, no one is going to give us a win. No one will hand us this result - it isn't going to be given to us.
"We have to keep working hard and doing the right things on the pitch.
"If we do that, we have enough good players here to get a result."