Parkinson has overseen immense success since being named as Wrexham boss in the summer of 2021.
He guided the club to three successive promotions between 2023 and 2025, although the pressure appears to be mounting on the 58-year-old following a slow start to the current campaign.
The Red Dragons have lost three of their past four matches and face promotion-hopefuls Middlesbrough and Wolverhampton Wanderers in their final two matches prior to the November international window.
On the back of Wrexham’s poor showing in Sheffield, Parkinson stated he would not hide away from any criticism that comes his way over the coming days.
“I’ll just deal with it (criticism) like I’ve always dealt with it, I’ll just concentrate on what I’ve got to do,” he said.
“What can I do? Curl up in a ball and not come out of the house for three days?
“I’ve built my career as a manager and a player on fighting and being resilient.
“I’ve been dropped as a player, I’ve been sacked as a manager, I’ve lost games as a manager, I’ve had supporters chanting for me to be sacked.
“I’ve got thick skin, but equally, if I was a supporter, I’d be very disappointed in the way the lads played in that first 45 minutes.
“So if there is criticism, then we certainly can’t hide away from that, and I won’t.”