The Spaniard, a summer arrival at the Emirates Stadium, scored his second league goal for the Gunners in a 3-1 away win over West Ham on Saturday and wants to carry on his good early form with a push for glory, having already won two European Championships with his national side.
"Arsenal is one of the big clubs in Europe so we are obliged to fight for titles," Cazorla told The Sun. "Within their means the club has been putting together a very good squad over the last two years, and it's clear we now want to change that dynamic of not winning anything.
"We haven't won anything for seven years, but I believe Arsenal always show passion and are a team of winners. I am here to fight for the league title. We have a good squad and I think that we can [win the league]."
Cazorla also talked about the challenge of playing in London and transferring to a new squad but has thanked teammate Mikel Arteta, a fellow Spain international, for making his transition to English soccer a lot easier.
"Mikel Arteta is very important for me in all the aspects, not only from a footballing point of view. From my arrival he supported me in the dressing room and made it easier for me to connect with my teammates," Cazorla said. "Gunners fans love the Spanish players."