The France defender, 26, recently penned a new long-term deal and intends to do all he can to make the Gunners rearguard a secure unit.
"Now I know the Premier League - I am more mature and more physical," Koscielny told Arsenal Player.
"You know I like to be tactical and technical in my position, but I have worked hard to be fitter and stronger.
"Now I want to continue my progression with this club.
"I know I played a good season last year, but I want to do more for Arsenal this year. I want to win a trophy."