Cazorla has signed a new deal that will keep him at the Emirates until 2017.
Ramsey and Zelalem have both signed new five-year contracts with the Gunners.
Arsenal boss Wenger said: “We are very pleased that Santi Cazorla, Aaron Ramsey and Gedion Zelalem have committed their futures to the Club. Cazorla and Ramsey are absolutely key players for us, and this news is a boost to the whole club.
“Gedion is very young of course, but he has shown already that he has fantastic promise, and we all look forward to his development with us.”
Ramsey said: “I’m delighted to have signed a new contract. I’ve been here for six years and I’m so happy.
“I think we’ve shown so far this season what we’re all about and the direction that this club wants to go in. I want to be a part of that, and to be a part of something special at Arsenal. We have a great team which we believe can achieve great things.”
Cazorla said: “I’m so happy to have signed a new contract with Arsenal. This club makes me very happy – the manager, my team-mates, the fantastic supporters, the stadium and the whole organisation here.
“I have had a great time with the Club since joining nearly two years ago, and I think that we can be a big player in competing for the top trophies in years to come and that’s important for me. I have already had lots of good moments here and hopefully there will be many more to come.”