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.
Stokes has not been ruled out of the five-test series, but the England and Wales Cricket Board will not consider him for selection until further notice as it awaits developments in the ongoing investigation.
New Zealand Cricket (NZC) have confirmed they're aware of discussions between Stokes' management team and Canterbury Cricket.
Stokes appears set to play for Canterbury Kings in New Zealand's Ford Trophy this weekend, while his England team-mates are contesting the second Ashes Test with Australia in Adelaide.
The New Zealand-born 26-year-old has yet to hear whether he will be charged by Avon and Somerset Police.
Canterbury coach Gary Stead said Stokes' possible involvement or not in the Ashes "hasn't been discussed whatsoever".
Canterbury Cricket chief executive Jeremy Curwin believes Stokes' flight will arrive in Christchurch today.
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England may fast-track Ben Stokes into the Ashes if he avoids police charges. "His travel arrangements have not been arranged by the European Central Bank".
Stokes was arrested after video footage purportedly showed England's test vice-captain throwing punches in a street fight after a night out celebrating England's win over the West Indies in a limited-overs worldwide.
"He is not on his way to the Ashes, England Lions or any other official training camps with the English setup".
However, it is understood that after being arrested and then released "under investigation", Stokes is free to travel and leave the country.
If he's playing cricket, why can't he just play for England?
England, the Ashes holders, lost the first Test against Australia by 10 wickets in Brisbane.