The future of Sagna has been the subject of widespread speculation in recent months and a host of clubs, including Manchester City and Inter, have been linked with the 31-year-old full-back.
Sagna, who joined Arsenal from Auxerre in 2007, now appears set to end his stay at the Emirates Stadium.
He is quoted as telling French radio station Europe1: "I'm out of contract, as everyone knows.
"I still consider myself as an Arsenal player at present. But actually we had a small problem to agree (a new deal), and I don't think I stay at Arsenal at the end of the season."
A regular fixture under Arsene Wenger ever since his move to London, Sagna has made 284 appearances for Arsenal.
‘Yes, Ronald Koeman should have been sent off against England in 1993, but David Platt also could have stayed on his feet – that’s never mentioned’ Former Three Lions star on playing in one of the country’s most infamous matches
‘I was close, very close, to managing Liverpool. I thought it was done, but they went for Joe Fagan. From there, nothing worked out and I lost my motivation’: Ex-Real Madrid boss reveals missing out on Anfield job
