The Turkish newspaper Fanatik states that Barcelona are looking to strengthen their midfield and have set their sights on the 27-year-old.
The daily sports paper goes onto state that both PSG and Bayern Munich are also monitoring the situation.
The news comes amid reports from the Sun that Ozil is currently in negotiations with Arsenal over a contract extension.
The daily tabloid states that the 27-year-old playmaker is looking to increase his wages to £160,000-a-week in deal which will keep him at Arsenal until 2019.
Ozil joined Arsenal for a club record €42 million from Real Madrid back in September 2013.
The Germany international of Turkish origin has been in impressive form this season with six goals in all competitions as well as 16 assists in the Premier League.