Josh Windass netted the decisive goal against the Tractor Boys as Wrexham followed up their thrilling third round victory over Nottingham Forest with more home success in round four.
It proved to be a fitting end to a week in which celebrity owners Reynolds and Mac celebrated five years in charge of the north Wales club – who were seventh in the National League when they took control in February 2021.
“I think it’s great for our owners, Rob and Ryan, it was their fifth year anniversary and to get them into the fifth round is great for them as well,” said Parkinson.
“We can really look forward to the draw on Monday night when we’re in the hotel in Bristol. We’ll savour that.
“But like we did last time, back burner now for the FA Cup, concentrate on the league.”
For star man Ollie Rathbone, the goal is to keep aiming for the stars.
“The club’s on an incredible journey and we just want to keep adding to that,” Rathbone told BBC Match of the Day Wales.
“It’s another special night, and it’s good to get back to winning ways at home.”
Having hoped for time to savour Wrexham’s progress, Parkinson’s ruthless streak swiftly returned to the fore, as it has done so often during his glorious reign at Stok Cae Ras to date.
When asked about memorable nights becoming standard, the 58-year-old responded: “Let’s not get too blasé about it, but listen, we’ve had so many great nights here and we want more.
“We’re greedy, why shouldn’t we be?”
The Wrexham manager is only too aware that his side have a strong chance of drawing a Premier League team in the fifth round.
And while his wish was ultimately for another home tie in the last-16, goal scorer Windass had a different outcome in mind when it comes to Monday’s draw.
“Hopefully not a big team away because you don’t touch the ball,” said Windass.