#1 Luis Enrique
It's forgotten a little just how good Barcelona under Enrique were in the 2014/2015 season, given his troubles last season: fronted by the sublime attacking trio of Lionel Messi, Luis Suarez, and Neymar, Barcelona won the treble, scoring an amazing amount of goals in the process.
Perhaps because he didn't change the team's tactics as drastically and impressively, Enrique never received the acclaim that Pep Guardiola did. He was, however, a success on the job, never having finished a season without winning at least 1 trophy.
Upon starting his previous job, he made it a priority to tighten up the defence, resulting in a loss of only 21 goals in the 2014/2015 season compared to the huge 33 lost in the season before: this focus on defensive duties would be much appreciated by Arsenal.
As shown by his disagreements with Lionel Messi when at the Camp You, he's not a manager afraid to speak his mind and enforce his views on the team and it often feels like this is what Arsenal have been missing lately.
The likes of Alexis Sanchez and Mesut Ozil have at times appeared disinterested or don't seem to be putting in a full effort - something Enrique won't allow. He is currently taking some time out of football after the stresses of the Barcelona job, but the right offer could certainly tempt him to return.
The prospect of challenging himself against the best managers in the world in Guardiola, Jurgen Klopp and Jose Mourinho could be interesting to him.
Arsenal are also a team with players who suit Enrique's style of fast, attacking football, with players like Danny Welbeck, Alexandre Lacazette, and Alex Iwobi perhaps better suited to this approach over Wenger's slower possession ways.