George Dobson’s early header gave Wrexham the perfect start at the SToK Cae Ras, but their advantage was wiped out within half a minute of the restart when Patrick Roberts finished off a slick move.
It means Wrexham are still searching for their first home league win of the season, though Parkinson believes the bigger picture remains positive as the club continues its adjustment to the second tier.
“This is a squad which is growing together and the signings are getting better all the time,” Parkinson said after extending the unbeaten run to five matches.
“I’m sure when we wake up tomorrow we’ll be looking at a team which is growing into the division well.
“We’re very confident of the group and just need to start turning these draws in into wins. We’ve just got to keep growing as a team and we will do.”
The clash had been billed as a “Hollywood derby” given Wrexham’s ownership by Ryan Reynolds and Rob McElhenney and Birmingham’s minority stake held by NFL legend Tom Brady.
But none of the celebrity backers were in attendance on a windswept evening in north Wales, where the football ultimately took centre stage.
Wrexham might have taken a stronger grip before the interval, with Lewis O’Brien missing a gilt-edged chance to double the lead, and were left ruing that wastefulness just seconds into the second half.
Roberts latched on to Jay Stansfield’s clever through ball to level, with the visitors taking control thereafter even if clear openings remained scarce.
Parkinson admitted the timing of the equaliser was especially damaging.
“I was frustrated to concede from my kick-off really and I felt it sapped a bit of energy out of us,” he said.
“The first half I thought we were good in difficult conditions, but the goal energised Birmingham and we looked a bit flat in the second period.
“It was our third game in six days and we had a tough game (at Leicester) on Tuesday. We took a knock straight after the break and we couldn’t quite find that inspiration to go and win the game.”
READ MORE: Phil Parkinson Plays Down Hollywood Hype as Wrexham Face Birmingham City in Championship Clash
Birmingham, who had lost four of their previous six fixtures, were lifted by the response and finished the contest looking the more likely side to claim all three points.
Head coach Chris Davies said he was encouraged by his team’s reaction to falling behind.
“I think if anyone was going to win it was going to be us. But if you can’t win don’t lose it and we got something from it,” he said.
“My message at half-time was to ensure that we stayed calm. Outside their goal – which I was angry about as it was an awful goal from our point of view – I was calm.
“We just needed to be more proactive and forceful with the ball at times. We pushed on after the goal and we were very good. I’m really encouraged by the start we’ve made, we’re a team that has competed well and can hurt teams.”
For Wrexham, the result leaves them mid-table after seven Championship games – still adjusting to the level, but showing resilience. For Parkinson, that patience will be key.
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