The Spain international is facing a fight to secure a first-team spot this season after Arsenal signed Alexis Sanchez in a £35m deal from Barcelona last week.
I am staying very happy playing for Arsenal and the team now is more strong with the new players
Cazorla, who moved to the north London club from Malaga in a £15m switch in 2011, appeared open to a move to the Spanish champions earlier this summer.
However, the 29-year-old moved to play down speculation linking him with a move away from The Emirates.
“I feel good, I am staying very happy playing for Arsenal and the team now is more strong with the new players and I hope we win the trophy for the fans,” Cazorla said.
In June, Cazorla dropped a big hint that he could join Atletico after revealing that he spoke to Spain team-mates Koke and Juanfran about the Champions League runners-up.
“Everyone tells me [Atletico] is a good club, Koke and Juanfran are there as well [as David Villa]. But I do not know anything. Until after the World Cup I do not want to know,” said Cazorla.
The Spain international has scored 16 goals in 69 Premier League appearances.
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