The decisive goal came from Oliver Rathbone, who recently extended his contract at the Racecourse Ground, curling a low shot through a crowded area into the bottom-right corner to give Wrexham the lead.
Nonetheless, the visitors were forced to defend stoutly as Charlton applied sustained pressure in search of an equaliser. Wrexham held firm, repelling wave after wave of attacks to preserve their slender advantage.
Parkinson hailed his side’s character after the match, highlighting how their defensive composure under immense pressure was key to securing a vital away victory.
“We showed incredible resilience today to get the win,” he said.
“There were some key moments in the game. Brilliant blocks by (Issa) Kabore and (George) Dobson – then a brilliant finish from Ollie.
“Arthur made a save from their first shot on target – but what a save it was. We know Carey is lethal from those situations. He has hit it low and hard, through legs, and Arthur has produced a match-winning save.”