Ozil arrived on transfer deadline day for club-record €47 million fee from La Liga giants Real Madrid and has made an instant impact with three assists in his first two domestic games.
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"Hopefully we win the title, but it is too early to talk about it," Cazorla told Sphera Sports. "The beginning is very good. After the first loss the team is performing at a good level.
"We are consistent, that is what we lacked last season. Furthermore, the incorporation of Mesut Ozil has given us a big leap in quality.
"Hopefully we can now become one of the great teams and that gives us the chance to fight for the title."
The 28-year-old is currently sidelined with an ankle injury but is hopeful of returning for their upcoming Champions League match against Napoli.
"I hope to be back shortly. Every day I'm feeling better and I'm working on all ways to reduce my downtime," he added.
"It all depends on how I train and strengthen my ankle. As the days go by I am doing more things and if all goes well I will try to return for the game against Napoli, but that's not certain."