The Polish goalkeeper accepts that things have not been good enough at the Emirates Stadium in recent years but feels that new signings Lukas Podolski and Olivier Giroud can improve things in attack whilst new assistant manager Steve Bould has strengthened the defence.
"This club always has the same aims and that's winning trophies," Szczesny told the club's official website.
"We obviously haven't done it in the last few years and that's disappointing for the players and the fans but I believe we will be that little bit stronger than we were last year.
"We have a couple of quality signings already. And we're confident we can fight for the trophies more than we did last year.
"I think the players who were lacking experience last year now have that experience. We have a couple of signings, more players who can score goals. And Podolski's goal record speaks for itself.
"We're strong offensively and Steve Bould has been doing some fantastic work with the defence. That seems to be working very well. It all makes me believe we'll be that little bit stronger."