Winning the premier league should be the top target for now, because that's the number object they've had from last season, it's a good thing arsenal are competing for the premier league for the second successive year, the last time this happened was more than a decade ago, Mikel Arteta have done a good job, installing this winning mentality this arsenal side have now, they play like experienced players now, with a solid defence that has provided 12 clean sheets this season, they still have some tough matches to play this season especially at old Trafford we all know old Trafford is not a good hunting ground for the Gunners lately, they should approach the champions league next matches one game at a time, starting from the match against Bayern tomorrow, I will still advise arsenal shouldn't look at the domestic form of Bayern Munich, as Bayern in this case are wounded lions and u know what injured lions do, when give the opportunity to redeem themselves.
The problem for Arsenal at the moment is that they are still in a tight spot when trying to compete for the EPL and Champions League trophies because the road they have to conquer is quite steep.
Bayern at the moment will definitely strive to win in the Champions League because for now the Bundesliga has been confirmed regardless with a very large point difference now between them and Leverkusen so surely they will try to beat Arsenal at all costs in the quarter-finals this time.
Its obviously a pretty tough task for Arteta but if they can come out and keep it consistent then it must be very good just don't know why for now both the Champions League and EPL trophies I feel Arsenal are still difficult to get both this season.
Well like you said, it's try they will try because I believe it's going to be both teams on the trying side so arsenal too are definitely going to give it their best despite the fact that they have a pretty bad history with Bayern Munich. But the context of this particular match up with Bayern Munich might actually turn out differently because of the two teams playing strength at the moment. For now Bayern Munich are really not in their best shape while the latter is the case for their opponent.