Patrick Vieira
Current role: Manager at New York City FC
Pros: The Frenchman is an Arsenal legend. The midfielder spent almost a decade at the club, forming part of the famous 'Invincibles', and became club captain. He has impressed in his two years at New York City FC and has previously been tipped by Wenger to take over some day at Arsenal.
Cons: Although he has done well at NYCFC, the MLS is a very different league to the Premier League, and Vieira's lack of experience at a high level could cost him.
Thomas Tuchel
Current role: Between jobs
Pros: Tuchel is a young manager with a fresh tactical approach, and is in many ways similar to Jurgen Klopp. Both Klopp and Tuchel led German side Borussia Dortmund, with a similar high-intensity attacking style of play, which has worked wonders at Liverpool, and could be the tactical change Arsenal need. The German had a 62% win ratio at Dortmund, and is also out of a job, meaning the club would not have to buy him out of a contract elsewhere.
Cons: The main concern for Arsenal is that Tuchel seems set to join PSG at the end of the season, and with PSG in a better place than Arsenal in terms of both finance and success, it would be hard to tempt him to London.
Brendan Rodgers
Current role: Manager at Celtic
Pros: Rodgers has enjoyed great success at Celtic since joining in 2016, and looks set to complete his second treble in two years. Just like Tuchel, he would represent an injection of youth, and his style of play isn't too dissimilar to that of Wenger, meaning the transition shouldn't be too difficult. He also has experience in the English League, having spent three and a half years at Liverpool, a club at a similar level to Arsenal.
Cons: Although he has experience at a top English club, Rodgers' time at Liverpool may raise some question marks over his suitability for the role. Despite coming close to winning the league in the 2013/14 season, he won no trophies during his stay, and the team was never quite the finished article with him in charge.
Carlo Ancelotti
Current role: Between jobs
Pros: Ancelotti's reputation precedes him. The Italian is a legend of the game, having won titles in Italy, France, Germany and England. He brought home the Premier League in 2009/10 with Chelsea, and has won three Champions League trophies during his managerial career.
Cons: The only concern over Ancelotti is that he may not be the fresh start that Arsenal are after. The club will be looking for a long-term replacement for Wenger, and Ancelotti has a tendency to change clubs fairly regularly, having spent no more than two years at his last four jobs.
Thierry Henry
Current role: Assistant manager of Belgium
Pros: Just like Patrick Vieira, Henry is part of Arsenal folklore. The iconic striker is another legend of the 'Invincibles' team, and is universally adored by fans of the club.
Cons: However, similar to his compatriot Viera, Henry may also suffer from a lack of experience. His job as assistant to Roberto Martinez for Belgium is his only experience as a coach.
Rafa Benitez
Current role: Manager at Newcastle United
Pros: Similar to Ancelotti, Benitez is one of the most respected managers of the game. He has managed at Real Madrid and Liverpool previously, winning a Champions League trophy with the latter. He has done a great job at Newcastle, bringing them up from the Championship and securing their safety from relegation this season.
Cons: The only problem with Benitez would be prising him away from Newcastle. The Spaniard is a loyal man and has previously dismissed links to the Arsenal job. Could he be tempted by the money and success of a bigger club like Arsenal, though?
Massimiliano Allegri
Current role: Manager at Juventus
Pros: The Italian has found great success in the Serie A, winning the title with AC Milan in 2010/11, before securing the 'Scudetto' three seasons in a row with Juventus, and reaching the Champions League semi-final in 2015 and 2016.
Cons: Like many on this list, it's a question of availability. Allegri is a man on many team's watch-lists, and he has also stated that he intends to stay at Juve for now. He did, however, say that if he leaves the club he will not return to Italy, which is a positive sign for Arsenal.