The reigning European champions overcame the Gunners at this stage of the competition last term en route to the title and were handed a repeat tie against Arsene Wenger's men.
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"They are the strongest team that we could have drawn, and it's certainly not what we were hoping for," Lahm told reporters.
"Arsenal have made some quality new signings and will prove a real challenge for us, but our goal is obviously to reach the next round."
And Lahm's defensive companion Jerome Boateng says he is also expecting a testing encounter.
"Arsenal are the toughest team that we could have drawn. They will be highly motivated after we knocked them out last season and we are expecting two very intense games."