EDIT: I'd be interested to hear which of the players I listed above you think would improve noticeably under new management? Obviously you know far more about Arsenal than I do, but I honestly don't see one. Welbeck could if he got a whole season under his belt, but let's be honest the guy is a crock. Xhaka and Mustafi have shown enough to suggest that they will get better as time goes on, but they weren't in my original list.
I mean, obviously I can't confidently state they would drastically improve under a new manager, but there are some players that, with a new voice and incorporating a different approach, there could be some potential improvements having shown glimpses of quality thus far.
Wilshere is one of those players. I know a lot of you won't agree with this and I know that a lot of you don't like the fella, but he is a tremendously gifted player technically and, in his breakthrough season at 18-19, he was phenomenal. He hasn't kicked on since then, in fact, he probably looked better in his debut season than he does now. But he still shows that he has great vision and is a good dribbler. He certainly needs to work on his finishing and tackling if he wishes to pursue a career in the centre of midfield, but I firmly believe he could get better under a different manager. However, at the age of 25, time is running out and I would say this is last-chance saloon for him. He's been an important player for Bournemouth and stayed injury free, which really does expose Arsenal's medical team pretty badly!
Welbeck is another one because, prior to his injury, he was a vital player for us, even if he didn't score in every game. His speed and directness meant we could stretch defences and interchange with the front 4 easily. His movement is vastly superior to Giroud's and we played much better football with him in the team than we do with Giroud spearheading our attack. Again, under a different manager, could go up a level. A lot of strikers have at later ages.
Oxlade-Chamberlain as well. I know he's been at the club since he was 18, but he has had an injury-plagued career and as we've seen with Wilshere at a different club, new management and staff can put an end to all these lengthy injuries our players seem to get. However, he has the raw attributes to succeed at this level - pace, power, strength, athleticism, dribbling and he can ping some lovely passes too. His football brain needs some work, but at 23, he has time on his side. If he was being managed under MP or Klopp, I honestly think he would be a devastating player.
However, there is no hope for the other names.
Gibbs is 27 and won't significantly get better, but he is a useful squad player. However, rumour has it that he's set on moving on this Summer, which is fair enough.
Mertesacker is going to be 33 this year so his career is coming to an end.
Debuchy has been a flop.
Walcott's 28 in March, so he also won't be improving significantly, although he too is a useful player to have in a squad. His career is the epitome of unfulfilled potential, though.
Ramsey doesn't cut the mustard, though. A real shame after that promising 2013-14 season where everything he touched turned to gold and looked like an all round complete midfielder, but his performances since that season have perhaps shown that he was just a flash in the pan.