Martinez is a target for Aston Villa and Brighton, while Ozil didn't feature for Arteta during the restart.
Ahead of their opening day clash with Fulham, Arteta said: "We have some really good players in many different positions. Some of them are complicated and obviously, clubs come to us and they are interested in our players. It is very difficult to promise players game time or to be the first choice. It is part of this period in the market. We try to manage the situation as well as we can, all the time counting on what the players' expectations are, what we can achieve with them as a club and we are making decisions towards that."
Asked about Ozil, he continued: "There aren't any updates. All of the players that we have here are available here and they have a contract with Arsenal. They have all been training and putting in maximum effort in every training session and this is what I expect from all of them."
For Martinez, he added: "Again, I cannot stop all the speculation that we have about all our players coming in and out. I don't want to comment on any individuals at the moment without having the right answers to give."