Speculation about Stokes' intentions arose when he was reportedly spotted at London's Heathrow Airport with his cricket gear, with photos spreading quickly on social media.
Canterbury Cricket confirmed they are in talks with Stokes, who is heading to New Zealand to visit family.
Instead, he is expected to spend time with his parents in Christchurch, and may look to play some form of domestic cricket in New Zealand as he steps up his return to action.
Stokes was arrested in September by Avon & Somerset Police on suspicion of causing actual bodily harm in an incident outside a Bristol nightclub and has not been considered for selection since.
Why is Stokes on his way to New Zealand?
Canterbury Cricket have been approached for comment but have not responded to RNZ's requests.
Canterbury coach Gary Stead said Stokes' possible involvement or not in the Ashes "hasn't been discussed whatsoever".
Ben Stokes. Pic Getty
Stokes moved to England with his parents as a 12-year-old after his New Zealand rugby league global father, Ged, took up a coaching job in Cumbria.
Stokes was arrested for his part in an incident outside a Bristol nightclub following England's third one-day global victory against West Indies. "His travel arrangements have not been arranged by the European Central Bank", it said in a statement.
He was arrested before being released without charge and police and the European Central Bank are both still investigating the incident.
"From a purely playing point of view he's a world-class cricketer, he's one of the best in the world.it would be a wonderful state of affairs to have him gracing the parks here", Curwin said.
England suffered a 10-wicket loss in Brisbane, with the second Test beginning in Adelaide on Saturday.
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