Wenger has announced he is stepping down at the end of this season and the Frenchman has reportedly recommended his compatriot to the club's board.
"Given what he's achieved since arriving in Glasgow, it's little wonder Brendan Rodgers is linked with most high-profile jobs in England and it does seem inevitable that he will return south at some point".
"Social media and the people with their opinions are so fresh".
He will also be competing with 40-somethings Mauricio Pochettino and Pep Guardiola - as well as the larger-than-life Jurgen Klopp - at the top of the Premier League. "Hopefully he will be involved in a different way in world football", he added.
Wenger had no intention of leaving the club, forcing them to pay off the final year of his salary in full.
After shaking Martinez's hand, Wenger saw the young lad, did a double-take before giving him a firm handshake of his own.
Former Arsenal captains Robin van Persie and Cesc Fabregas, who both played under Wenger, described the coach as a "father figure".
Wenger wasn't blameless, though.
Raul Sanllehi, Arsenal's new director of football, is believed to have been instrumental in discussions.
Alex Ferugson the celebrated former manager of Manchester United called Wenger one of the "greatest Premier League managers".
Arsenal have made their decision on Wenger's future and are sure to deliberate long and hard before appointing a successor, a position for which Rodgers seemed one of the more realistic options.
"I am obviously privileged to be manager of Celtic, big club, huge demands and I am only helping the club grow and go forward and order to do that it is about happiness".
Rodgers is also on the verge of the historic achievement of winning back-to-back trebles, with a Scottish Cup final to come against Motherwell next month, and the League Cup secured last November. In every moment, he tried to play good and creative and offensive football.
Mikel Arteta: This is an interesting one.
A London-based club with a rich history, large stadium and enough money to compete - the queue of applicants should be snaking around the Thames river. "It's a sad feeling right now", he said.
Commenting on reports linking with him the Arsenal manager: "I can say I would like to work again, but that depends on me".
He shifted our reputation from 'boring, boring Arsenal', to a side feared for incisive passing, quick movement and devastating effectiveness.
For the Hammers, Angelo Ogbonna is a doubt with tendinitis.