EXCLUSIVE By Greg Stobart Follow on Twitter
The midfielder has been strongly linked with a switch to the Spanish capital following an impressive season in which he played a key role in the Gunners's successful FA Cup defence.
But Cazorla says that he is focused only on Arsenal and intends to see out the two years remaining on his contract in north London.
"Rumours about Atletico Madrid are false. Currently, I just focus on Arsenal. I have two more years on my contract here and I hope to complete them," the midfielder told Goal at the launch of the Gunners' new PUMA home kit.
"I'm very happy in Arsenal and in the Premier League. I feel loved and valued by the team and supporters."
The 30-year-old was Arsene Wenger's choice as the Gunners' player of the season and played a key role in Arsenal's excellent form in the second half of the campaign as they finished third in the Premier League before beating Aston Villa in the FA Cup final.
The Spain international thrived in a deep-lying midfield role and has urged Arsenal to continue their momentum into next season to challenge for a first title since 2004.
"I don't know if this was my best year of my career but I felt so good with the team, playing in a new position that I feel comfortable in," Cazorla added. "I hope next year to be even better.
"If we want to fight for Premier League, we must maintain the level of the second half of last season. I think that that we need to fight against Chelsea, [Manchester] City and [Manchester] United, they will be stronger next season".
"We are so happy to win the FA Cup again, it is very important for us to win trophies and now we are preparing ourselves for the next season. We want to make a step up in our quality and hope to fight for Premier League and go further in the Champions League."
Santi Cazorla was speaking at the launch of the new Arsenal home kit, available in store from June 25, 2015. The home replica kit and training line is available to pre-order now online at www.puma.com and www.ArsenalDirect.com.