McCarthy is wanted back in South African football after being fired by Cape Town City in November.
Ajax, who owe their existence to McCarthy’s move to parent club Ajax Amsterdam in 1997, were rumoured to be one of the interested parties as they look to replace coach Andries Ulderink after the Dutchman quit last week.
But the Bafana Bafana top scorer confirmed to the BBC this week that he will bide his time with his family in Scotland before deciding his coaching future .
The 42-year-old says: “If it’s the right club, the right chairman and owner, someone I can work with then sure, I’ll be up for it. But I’m not just going to take a job for the sake of taking it if it’s not the right move for both parties.
“The Ajax Cape Town job was probably mine if I wanted it. I had a few discussions with the club’s CEO Ari Efstathiou - we had great conversations.
“The project could have been good but the timing wasn’t right for me.”
Ajax spokesman Shooz Mekuto, meanwhile, says NFD leaders Urban Warriors will see out the season with coaches Calvin Marlin and Dylan Deane in charge as they push for PSL promotion.