The 28-year-old, who joined the Gunners in August, is the club's top scorer so far this season, netting 11 times.
The midfielder told Arsenal.com: "I think I've had a positive seven months personally as I have been able to come to a team like Arsenal and play in a great league like the Premier League.
"It hasn't been difficult adapting to Arsenal's style of play or even to the Premier League. It is a bit different to La Liga in Spain but I've adapted very well and I think Arsenal's style of play has made it a lot easier for me.
"I was expecting to come into a league that would be a bit more physical, a bit quicker, and had a greater intensity than what I was used to. I was prepared for that, especially the physical side, so I don't think it was hard for me to adapt."
Cazorla has previously played for Spanish clubs Malaga and Villarreal.