The 33-year old Czech Republic international is out of contract at the end of the season but it is looking more and more likely that he will soon put pen to a new deal, quite possibly by the end of this week.
"Arsene Wenger wants me to stay, he wants our co-operation to continue. I want to stay," he told Czech news agency CTK.
"Hopefully all is sorted out in the next few days. It would be great to play on at Arsenal for another few years."
And Rosicky said he plans to continue playing for the Czech national team under new boss Pavel Vrba despite his ageing years with Euro2016 his next goal.
"It was not easy to make the decision (to carry on), I can tell you that," he added.
"When we were speaking to each other then, there was a lot of question marks surrounding me.
"I didn't know if I would be staying at Arsenal and I didn't know if my age wouldn't be an obstacle to Mr Vrba. At the end of the qualification (EURO 2016) I will be 36 and you never know what your health will be like.
"I don't feel like I'm turning for the worse or that my level of performances would be dropping. There has been no decline yet.
"You can look at Ryan Giggs and Pavel Horvath, who both play at an advanced age. I would like to play this long too, but we will have to wait and see what future brings."
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