Ozil could be back in contention for the Gunners' trip to Watford on Saturday after recovering from a knee injury which kept him out of international duty as Germany secured their place at the 2018 World Cup.
The 28-year-old joined Arsenal from Real Madrid in a then club-record £42.5million deal in September 2013, but as yet has not penned a new contract.
There had been suggestions the German playmaker could be sold in January to avoid him leaving on a free transfer in the summer.
Inter Milan, Besiktas and Manchester United, now managed by his former Real Madrid boss Jose Mourinho, have all been touted as possible destinations for a player said to be seeking a salary in the region of £300,000-per-week.
Ozil's representative Dr Erkut Sogut, however, suggested in quotes to Turkish media outlet Fanatik that the German could well be staying put.
Sogut said: "Ozil wants to play another two to three years in the Premier League.
"Our contacts with Arsenal continue and are going in a positive way."