#1 Thomas Tuchel

PROS:
Thomas Tuchel is said to be one of the front-runners to take over the reins from Wenger next season. Before Dortmund, he took charge of the newly promoted Mainz side, with very limited funds. He built a side that played fluid attacking football and finished at a respectable 9th position in the Bundesliga.
In his second season, he took Mainz to even greater heights as the club finished 5th and qualified for Europe. But after that, things went south as Tuchel was not able to juggle the demands of domestic and European matches with the limited budget he had. After another 7th place finish, he left Mainz, as he was given insufficient funds for the transfer window.
At Dortmund, after the disastrous campaign of Klopp's last season, Tuchel was handed the reins. With a mightier financial prowess of Dortmund as compared to Mainz, he delivered two back to back 2nd position with a DFB Pokal in his last season.
In both these clubs, Tuchel was credited for giving younger talents a chance in his teams, a quality that is seen a lot at the Emirates.
CONS:
According to the media reports, PSG is also looking to sign him, which is odd as he has achieved virtually nothing so far in his career to be considered for posts like PSG and Arsenal. How is giving him the managerial seat at Emirates any different from giving it to Eddie Howe?
Both play an attractive brand of football but they have a lot to learn before taking over such big clubs. Arsenal should not repeat a "United". Sir Alex left a team which had just been crowned champions and still, Moyes struggled and now even Mourinho is not able to take them to those heights. Arsenal are already a team a struggling team to appointing someone as inexperienced as Tuchel does not seem to be the right idea.