Bacary Sagna is yet to make a decision over his future and has said there is a 10 per cent chance he could remain at Arsenal.
The right-back is out of contract at the end of the month and has been linked with Manchester City, Paris Saint-Germain and Monaco.
Arsenal are also understood to have made various offers to the 31-year-old but have failed to match the three-year deal put in front of Sagna by Manchester City.
Despite that the France international, who is preparing for this summer's World Cup, has not ruled out extending his seven-year stay with the 2014 FA Cup winners but says his future will be decided one way or another before things kick-off in Brazil.
"My situation will be sorted out before the World Cup, but I haven't signed for anyone so far. I have agreed with no one," said Sagna.
"I don't have any agreement with Manchester City or with anyone else. I have never set foot there. Several European and English clubs have contacted me.
"Certain talks have gone further than others, and Manchester City are among them. But today, I'm still an Arsenal player.
"Today, there's a 90 per cent chance I will leave and 10 per cent that I will stay.
"I have been asking myself that question for a long time, and it's the time for a new challenge."
The 10 best free agents on the market this summer
The 10 best free agents on the market this summer
1/8 Guillermo Ochoa
The Mexican goalkeeper rose to fame thanks to his brilliant performance against Brazil in the World Cup. The 28-year-old, who left Ajaccio at the end of the season, has been linked with a move to the Premier League.
2/8 Rio Ferdinand
Both halves of Manchester United’s famous central defence for the past eight years are leaving this summer. Nemanja Vidic is off to Italy to play for Internazionale while Rio Ferdinand was told at the weekend that United would not be renewing his contract. Ferdinand said last week that if United did not offer him a new deal that he would be “open to offers” but joked that he “would not go below the Conference”. That is unlikely to be an issue as there should be no shortage of clubs looking for a defender of his experience. Queen’s Park Rangers, should they come up, are managed by Ferdinand’s old mentor Harry Redknapp, while even bigger teams like Arsenal could be tempted.
3/8 Diego Lugano
The Uruguay captain hit the headlines in Brazil for the wrong reasons as his complete denial that team-mate Luis Suarez bit Giorgio Chiellini when everyone else could see it. His contract with West Brom is up for renewal, but the 33-year-old is unlikely to remain in the Premier League.
4/8 Nicolas Anelka
Sacked by West Brom last season for his controversial 'Quenelle' gesture, Anelka has not yet confirmed whether he will sign for a new club - should anyone want him - or announce his retirement.
5/8 Frank Lampard
As with Terry and Cole, Lampard’s Chelsea deal expires at the end of the season and he is likely to follow Terry in signing a new deal at Stamford Bridge. Lampard is not the dynamic presence in midfield that he once was, and he started only 20 Premier League games this season. But as his inclusion in Roy Hodgson’s World Cup squad demonstrated, his experience and presence are invaluable and he is more than worth having around. That said, if he does not renew at Chelsea, there would surely be offers from abroad, not least from long-time suitors LA Galaxy.
6/8 Marouane Chamakh
The Moroccan striker has completed a one-year deal at Crystal Palace that could barely have gone much better. Since he was entrusted with a role as a withdrawn striker by Tony Pulis in December, he has been excellent, scoring five goals and helping to drag Palace out of the relegation zone and into safety. Chamakh will be discussing his future with the club soon but he said last week that agreeing a new deal at Palace was his “priority”, after building an excellent rapport with the fans and playing his best football since his arrival in England from France in 2010. If not, he would like to stay in the Premier League.
7/8 Samuel Eto'o
The striker did not cover himself in glory at the 2014 World Cup, as Cameroon's campaign was blighted by a money row over bonuses and poor performances in Brazil that saw them eliminated at the group stages. However, the Champions League winner will still have a number of clubs interested in his services, with Arsenal being linked in recent weeks.
8/8 Nicklas Bendtner
Despite a fairly successful season by his standards, Nicklas Bendtner is on his way out of Arsenal. The Dane has scored twice this year, in wins over Hull and Cardiff, but he fell behind Yaya Sanogo in the pecking order while not always conducting himself immaculately off the pitch. He turned down moves away from Arsenal last summer that would have meant pay cuts but this summer he must be hopeful of maximising his value as a free agent.
Sagna was a regular in the side during a season in which the Gunners secured Champions League football and their first trophy for nine years. The win over Hull City at Wembley appeared to be Sagna's last for Arsenal with the player waving a teary farewell to supporters after the match.
"Arsenal is an extraordinary club that has given me the chance to grow, both in sporting and human terms. It's a family club, I feel good here," added Sagna.
"I've had some very good years here. We all have our own destiny and I will try to find mine. Whatever happens, Arsenal will stay forever in my heart."