That is known by us gooners as pinball passing.
When the manager (Wenger) first started, British football had never seen anything like it before, and Arsenal wiped the floor with all opposition for two or three seasons.
Alas, everyone now does it to a greater or lesser extent, and Arsenal can now be beaten on (too) regular occasions).
The team to watch out for now over the next year or two is Southampton.
They seem to have the magic touch right now, and good luck to them. I much prefer it when a team comes through on sheer talent, rather than big spending power.