The Gunners star is coming towards the end of his contract and is reluctant to sign a new deal.
That being said, Barcelona could snap up the Germany international for free next summer, which they deem a suitable alternative to splashing out on £130m-rated Philippe Coutinho.
Ozil, 29, has endured a rollercoaster relationship with Arsenal fans since his £42.5m switch from Real Madrid in 2013.
The playmaker has had a similarly indifferent start to this season, but did take the man of the match award as the Gunners ran out 2-0 winners in the North London derby last weekend.
Manchester United have been rumoured to be interested in the German, while it is thought that Barcelona are also targeting Ozil due to his impressive spell at Real Madrid.
Yet, according to the Daily Mail, Messi is concerned over Ozil’s suggested habit of going missing in the big matches. Barca’s all-time leading goalscorer has told the powers that be at Camp Nou to drop their interest in the playmaker.