Each side could be ordered to leave the pitch separately, thus cutting out potential flash points.
The referee and his linesmen are the last to leave the field at the end of a match and, although their jurisdiction stretches to the dressing rooms, they are often still shepherding players from the pitch when trouble develops.
Logically, the visiting team, in this case Arsenal, would depart first.
In the longer term the authorities might consider forcing clubs to build home and away dressing rooms in separate areas of the stadium.