Arsenal are confident of naming a successor to Arsene Wenger before the World Cup kicks off next month.
The Frenchman, who has two more games as manager, is leaving the club after almost 22 years.
The Gunners have no specific deadline for the recruitment process, but an announcement is expected before the tournament starts in Russia on 14 June.
Ex-Barcelona coach Luis Enrique has been linked with the job, along with Juventus boss Massimiliano Allegri.
Former Arsenal midfielders Mikel Arteta and Patrick Vieira have also been suggested as potential successors, as have Monaco manager Leonardo Jardim and three-time Champions League winner Carlo Ancelotti.
According to journalist Guillem Balague, Shakhtar Donetsk manager Paulo Fonseca has rejected an offer from Everton after setting his sights on replacing Arsene Wenger at Arsenal.
Wenger, 68, said he would continue to work “for sure” in the future, but was not ready to commit to anything else “at the moment”.
Arsenal have won three Premier League titles and seven FA Cups, including the Double in 1998 and 2002, under Wenger.
The Frenchman won his last home game at the Emirates against Burnley as the Gunners recorded an emphatic 5-0 victory.