Parkinson's men host Evo-Stik Southern Premier Division side Chesham United at the Coral Windows Stadium on Sunday - kick off 2:00pm - knowing that they are potentially one win away from a tie against a Premiership or Championship side in the next round.
After causing probably the shock result of round one last month, Chesham are expected to bring roughly 800 supporters with them to Valley Parade.
Parkinson is fully aware that the Bantams will have to expect a committed display from their non-league opponents but the City chief believes his squad have the quality to overcome the challenge if their approach is correct.
Parkinson said: "We wanted another home tie and we've got one. It is now up to us to do the job required and get into that much-anticipated third round draw.
"Chesham are a big and strong team, and we certainly won't be taking them lightly at all.
"We are going to have to be strong and resolute ourselves, and our attitude has to be right. We are confident that we will create chances against them, especially as the game goes on and things open up.
"We will give Chesham the utmost respect but we know what is at stake for us as well as them going into Sunday.
"The coverage we received last season during our cup run helped to give some of our players the exposure and credit they deserved. It also highlighted some of the great football we had been playing and helped to raise the profile of the club as a whole.
"I feel we have players here that deserve that exposure again.
"To get into the rounds where the real interest kicks in, the hard work has to be done on Sunday. I'm confident that if we are right on our game and we stick to what we've been going through in training, we'll cause Chesham problems.
"With a decent away support behind them, we are expecting Chesham to really be up for the game from the start.
"The pattern of the tie might not emerge until 30 minutes or so in, and it is up to us to be strong in those early stages."