Wednesday's fixture followed the pattern of numerous two clubs' UEFA Champions League meetings as Bayern was utterly dominant, but Robert Lewandowski's eighth-minute penalty was all it had to show after an inspired Arsenal goalkeeper Petr Cech turned in a wonderful display for 75 minutes before being substituted.
Hit the video above to see how Arsenal saw off Bayern.
Muller is still contracted to Bayern until 2021 and is said to "fit perfectly" with the German club's system and style of play, however, he did have a poor 2016/17 campaign and this, coupled with Rodriguez' arrival, could open the door if the price is right.
Bayern will then play Inter Milan next Thursday, before the Italians take on Chelsea two days later.
Arsenal starting XI: Petr Cech; Krystian Bielik, Per Mertesacker, Nacho Monreal, Ainsley Maitland-Niles; Francis Coquelin, Granit Xhaka, Sead Kolasinac, Mesut Ozil; Danny Welbeck, Alexandre Lacazette.
The Chile forward is a prime target for Manchester City and Paris Saint-Germain, with his desire being to join the former.
The club's dilemma has often been painted in black-and-white terms. Arsenal looked simply pathetic in the Round of 16, but they hope to turn things around today in Singapore as the 2017 International Champions Cup gets underway.
The home defeat back in March will be the club's last match in Europe's top club competition, after they only managed to qualify for the Europa League for the upcoming campaign.
But which players impressed and who disappointed?