Despite two dominating performances, Parkinson's men were only able to pick up one point from their previous two games away at Shrewsbury Town and Coventry City.
The Bantams currently sit fifth in the Sky Bet League 1 table and with their eyes on securing a Play-Off place in the final three games of the regular season.
Sitting three points behind second-placed Burton Albion with a game in hand and better goal difference, Walsall will arrive at Valley Parade still with hopes of securing automatic promotion.
Parkinson knows his players will be in another challenging encounter at the weekend but he has backed City to bounce back from the frustration of their recent away double-header.
Parkinson said: "We are still in a strong position for the Play Offs. There are plenty of other teams who would happily swap places with us.
"It is now up to us to capitalise on this opportunity in these final three games of the season, starting with Saturday's game at home to Walsall.
"Walsall have had a great season and will come to us looking for automatic promotion. It will be another keenly-contested encounter but we are really looking forward to it.
"We are right in the mix with three games to go.
"We were obviously disappointed not to get what we felt we deserved from these last two matches (against Shrewsbury Town and Coventry City) but no-one wants to hear hard-luck stories.
"We must rectify the situation on Saturday.
"We have been pleased with the energy and performance levels of the players for a good few weeks now, not just over the last couple of games.
"There will be highs and lows in any season but we will dust ourselves down and go again.
"I am so proud of how the lads have performed over the last two games. We will regroup and be ready for the Walsall game."
Parkinson has minor doubts over Reece Burke (calf) and Jamie Proctor (back) going into the Walsall fixture, while Wes Thomas missed training earlier this week due to a virus.