The problem when an eight-figure transfer fee is paid for a striker with 108 Germany caps and 44 goals is that he will expect to play more often than not.
On paper, Arsene Wenger has plenty of wide attackers to call on in his current squad, but nearly all of the, prefer to drift inside, and Arsenal so far have not exploited the Frenchman's ability in the air as a result.
After FA Cup disappointment at the weekend, Arsenal face Bayern Munich on Tuesday in the last tournament they can win this season. Can they defeat last year's Champions League runners up?
The Gunners' thumping victory over West Ham was largely built on the success of their summer signings, and similar talent could be picked up this January to address the problems in the squad.
Arsenal have had a tricky start to the season that has sometimes seen their fans unhappy with the situation at the Emirates, but which players have shone for the Gunners this season?
The German striker is reportedly dissatisfied with the wing role he has been given in London so far, and have Arsenal hindered themselves by pushing their best striker out wide?
The increasing threat of missing out on Champions League? A recognition that a youth philosophy has failed? A show of ambition to players and fans? What has altered Arsene Wenger’s transfer policy at Arsenal?
AC Milan, Tottenham Hotspur, Arsenal, Fulham and Chelsea are all looking like doing business in this month's transfer window.