The Mannschaft international has scored three goals in six appearances for the Gunners following his summer move from the Bundesliga, helping the north London side remain unbeaten in the Premier League thus far.
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However, Azerbaijan manager Vogts believes the 27-year-old still has weaknesses which must be ironed out by Arsene Wenger, such as his work-rate.
Regarding Germany's Euro 2012 exit at the hands of Italy, Vogts said: "It is always the defence that gets criticised. But the defence starts with Podolski. When he loses the ball he must start running back once in a while.
"Now at Arsenal, he has a manager under whom he has to work really hard in training. Now he gets educated as a professional."
The former Borussia Monchengladbach defender continued by describing Podolski as an "extraordinary player" but added: "[He had] too many friends in Cologne and I hope they stayed at home."