Money will be tight at the Emirates Stadium this summer, with only £50million to spend on new players.
Luis Enrique is a leading candidate to replace Wenger, but wants a deal worth £15million a year. Enrique will also want to bring a number of staff with him which would create extra expense.
Jurgen Klopp's No 2 Zeljko Buvac is the latest to have been linked with the job. The Bosnian is set to leave Anfield and Arsenal head of recruitment Sven Mislintat has a good working relationship with Buvac after their time to together at Borussia Dortmund.