More successes on the field will help to bring the unwelcome rumours to a close, as links to Liverpool legend Gerrard die down, with Ally McCoist among those to have been left baffled by suggestions that Parkinson could be relieved of his duties after guiding Wrexham out of the National League and into the Championship.
Ex-Scotland international McCoist told football betting site talkSPORT Bet: "Steven Gerrard has unfinished business in management, and I believe he'll want to return, whether in Scotland or England. Regarding Wrexham, how can their manager be under pressure? The whole narrative has been like Hollywood, and it's been fantastic to follow. It couldn't have been easy for the manager to keep everyone grounded amidst all the excitement.
"I said last year that this season Wrexham would find their level. I'd put Birmingham in the same category, they were never going to keep getting promoted all the way to the top. There was always going to be a leveling-off period.
"The most important thing for Wrexham now is to avoid slipping backward. They shouldn't get a new manager or start throwing their toys out of the pram just because the rise has levelled off. It was always going to happen, and it's levelled off exactly where I expected.
"What's needed now is calmness and a reality check. This is where they are, and it's crucial they don't go down. Having leveled off, they need to maintain this position, perhaps for a couple of seasons, and continue to invest and strengthen the squad. As I said, this period was always going to come, and it's no surprise to me. To get rid of the manager now would be absolute madness."