Laurent Koscielny says he will leave Arsenal if the north London club can't assure him of their ambitions.
The Gunners haven't won a trophy since 2005 and in recent years have made finishing in the top four and qualifying for the Champions League their priority.
They achieved their goal this season, beating rivals Tottenham to 4th by a single point.
Arsenal have also been forced to contend with a host of players leaving the club in order to win silverware, and Koscielny says he may be forced to follow the likes of Robin van Persie, Cesc Fabregas and Samir Nasri out the door if something doesn't change soon.
"It's hard psychologically. We are constantly pressured because if Arsenal is not in the Champions League it would be a catastrophe.
"I have to see if I have clubs interested in me. I will not go to any club. I want to may be discover another league. Paris [Saint-Germain]? There has been no contact yet.
"It is hard to not win titles year after year. We are competitors, professionals, we want to win. I want to add to my list of achievements. If Arsenal cannot allow me that, I'll seek a move elsewhere."
The 27-year-old, who scored the winner against Newcastle on the last day of the season to secure Champions League football, has been linked with a move to Bayern Munich in recent weeks.
According to the Daily Mail, the German giants are contemplating making a £15 million move for the defender.