Arteta, now Man City's assistant coach, has expressed his interest in the role to both Pep Guardiola and City's Director of Football Aitor "Txiki" Begiristain, who have given the former Everton and Arsenal midfielder the go ahead to complete the move.
Wenger ended his 22-year reign as Arsenal boss last season with a number of potential names being mentioned to succeed him among which include Arteta.
Though Arteta-who was spoken to on Thursday-is said to be the front-runner for the position, the club will speak to Henry and other candidates as part of an "extensive process" to find Wenger's successor.
"I left a lot of experience behind me, people who were with me like Steve Bould who has six years experience, and Jens Lehmann too.More news: East Coast Main Line services under public control from next month
As I said in my speech on the pitch after the Burnley game, I'm a fan above all". Then Man United came in and they had Carlos Queiroz at the time, who was their coach.
"I don't want to influence it publicly, because I believe it's important they make their choice objectively and after that I will support him".
"But do I want to continue to suffer as much?" "I haven't even emptied my desk yet and in a way I am still in a state of shock".
"The one thing I can say for sure is that I will continue to work". I have lived and breathed football all these years and it's a passion.
According to Goal, Arteta's in-depth knowledge of City's opponents and his ability to adopt a strategy to defeat Wenger, his former manager, was a key reason why Guardiola made a decision to place the Spaniard in charge for that game in December 2016.