The France defender is understood to have attracted interest from both Barcelona and Bayern Munich in recent weeks as speculation about his future hit the headlines.
However, the 27-year-old, who made 20 league starts for Arsenal last term, insists that he is happy at Emirates Stadium and has no intention of leaving the north London club.
“I never said that [I wanted to leave]. I feel very well at Arsenal,” said Koscielny, who scored the winner at Newcastle on the final day of the 2012-13 campaign as the Gunners booked their place in next season’s Champions League.
“I am aware it’s a great club and I have a four-year contract. I know there’s talk about me and Barcelona and Bayern, but people make their own conclusions.
“The facts are simple: I have a contract at a club where I am happy. Full stop. We all know how situations change in football but I repeat that I’m not one to make castles in the sky.
“I live in the moment, I seek nothing but to play the best I can.”
In a lengthy interview with lepopulaire.fr, Koscielny also insisted that he is desperate to help the Gunners lift their first major trophy since their FA Cup triumph back in 2005.
“In my mind my goal is to win trophies with Arsenal with whom I’m about to start pre-season training. I’ve no ulterior motives.
“I’m at a healthy club, which plays beautiful football, doesn’t lose money every year, sticks to its own budget and plays in the Champions League. Not many players can say the same.”
Get enhanced odds of 18/1 on Andy Murray to win Wimbledon or 10/1 on Novak Djokovic when you open a Paddy Power account.