The Dragons boss has insisted the process of bedding in a new-look squad will take time despite frustration over their sluggish start.
The north Wales club, promoted for the third consecutive season and backed by significant summer investment, slipped to 21st in the table after a 3-1 home defeat to Queens Park Rangers at the weekend.
The loss, witnessed by co-owner Ryan Reynolds, leaves Wrexham just two points clear of the relegation zone with four points from their opening five matches.
Parkinson, however, believes perspective is required.
The 57-year-old manager highlighted the scale of the transition, with 13 new signings arriving for a combined £33m.
Only five of those players started against QPR, with others unavailable through injuries to Danny Ward, George Thomason and Liberato Cacace.
“We’ve changed the squad around completely,” Parkinson said.
“There was always going to be a period at the start where it doesn’t go completely as you’d want it.
“We’ve got to work this week on the training pitch to put on a performance like we showed at Millwall two weeks ago (when Wrexham won 2-0).”
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That victory at The Den had offered a glimpse of what the new-look side can produce, but against QPR Wrexham were undone by defensive lapses.
A Conor Coady own goal set the tone, before Richard Kone’s thunderous strike doubled the visitors’ lead.
Kieffer Moore, in fine form with four goals in as many games, briefly lifted hopes of a fightback, but Rumarn Burrell’s late finish sealed the points for the London club.
“The previous home games, we looked like we can create chances and score,” Parkinson reflected.
“But the goals we conceded – on one hand, you’ll say they were clinical but when we analyse them all, we’ll know we could have done better.
“I thought we started the game well and then we had a scrappy period with some mistakes on the ball. The goal really typified that period.
“We had to clear our lines quicker and be braver in the key moments to keep the ball out of the net. The third goal was just a real killer for us, it knocked the stuffing out of us.”
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Parkinson admitted that the leap in quality between divisions is being felt most acutely in defence.
“The strikers are better. To be fair to Burrell and Kone, they were in League One last year,” he said.
“The first goal was desire from him to score, and the second one, if the set-up’s not right in our defensive shape, those five yards away from where you need to be as a team – we got punished with that bit of quality.
“That is the difference and we know that.”
The statistics underline the adjustment period. Wrexham have conceded eight goals in three home league matches, with just one point taken from those fixtures.
Yet Parkinson believes these struggles are inevitable when trying to blend so many new faces into a coherent unit.
“There was always going to be a period at the start where it doesn’t go completely as you’d want it,” he reiterated.
“We’ve got to work this week on the training pitch to put in a performance like we showed at Millwall two weeks ago.”
While Wrexham are adapting, their opponents on Saturday demonstrated the value of stability.
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QPR, under former Rennes and Strasbourg boss Julien Stephan, had endured a torrid beginning to the season, including a Carabao Cup exit to Plymouth and a 7-1 thrashing by Coventry.
Yet after back-to-back 3-1 wins, Stephan believes they are moving in the right direction.
“After the defeat against Coventry everyone in the club stayed very stable,” Stephan said.
“We won the game against Charlton 3-1, the way we prepared with a good mindset.
“It was very important and now some players have arrived in the transfer window and we have players back from injuries.
“We don’t have all the players available but we have more options now, especially with our strikers. I am very happy with the win.”