The Frenchman was one of the stars for the Gunners as their fine end-of-season form helped them secure Champions League football on the final day of the campaign, when he scored the winner in a 1-0 win at Newcastle United.
Since then Koscielny has reportedly attracted interest from Bayern Munich and Barcelona, but the 27-year-old has told the press that he is going nowhere and wants to achieve success with Arsenal.
"I have a four-year contract. For now, I am still at Arsenal," Koscielny told La Montagne.
"The second leg of the Champions League against Bayern Munich was a trigger for us. In the process, we almost won everything.
"The most important thing is that Arsenal is in the Champions League. It is super exciting to play against the best teams in Europe."
Koscielny joined Arsenal from Lorient in 2010.