The long-serving Frenchman takes charge of his final match as Arsenal boss on Sunday against Huddersfield, attempting to sign-off by ending a run of seven consecutive away defeats in the Premier League.
Mikel Arteta has emerged as the leading candidate to succeed Wenger with the likes of Patrick Vieira, Julian Nagelsmann and Massimiliano Allegri also on the club’s shortlist.
Former Barcelona treble-winning coach Luis Enrique was the early favourite but his extravagant wage demands appear to have ruled him out of the running, which represents evidence of a botched approach, according to Neville.
‘I’m shocked at the process it’s a right mess,’ Neville told Sky Sports. ‘That’s the problem [they haven’t done anything].
‘They are all over the place. The problem is now you can’t keep anything quiet. You have a live update on the process unfortunately.
‘With Enrique they found out he wanted too much money. They found out after they approached him? They must have known.
‘I don’t know the hierarchy at Arsenal now but it seems they’ve not deal with it particularly well.
‘They should have had their guy lined up and ready to go. To me it’s been a mess since he’s gone.’