Wenger's assistant Steve Bould has been offered a new role pending the next manager's approval, but he has not yet indicated a definite willingness to stay himself, and is understood to be weighing up a potential position at Stoke City.
Arteta has, though, emerged as the front-runner and is reportedly the preferred choice of Arsenal chief executive Ivan Gazidis.
Vieira is also a firm favourite with Gunners' fans, having helped drive Wenger's Invincibles team through their unbeaten league season of 2003/2004.
He said: 'I have seen the shortlist: Allegri, Carlo Ancelotti, Mikel Arteta - why not?
Just not in England which seems to rule out a swift return to the Premier League.
'He is doing very well with New York City, and he told me the job is very hard and difficult.
Carzorla, who has is out of contract in the summer, hasn't kicked a ball in anger since a 3-2 win over Swansea City in October 2016 due to injury but it appears Arteta is keen on keeping his former teammate at Arsenal.
Arsenal's head of football relations Raul Sanllehi is believed to favour a more experienced replacement for Wenger but Gazidis is confident of overcoming his reservations.