The Czech Republic international has been linked with a move away from Emirates Stadium this summer but is confident he will still be with the Gunners next season
The 32-year-old, who has one year remaining on his contract, is reportedly a target for former club Sparta Prague.
However, Rosicky revealed that he held talks with Gunners boss Arsene Wenger during the close-season and fully expects to remain in north London next season.
"After the season I spoke with the coach and Arsenal want me to stay," Rosicky told fotbal.idnes.cz.
"Of course, you never know what can happen, but I should be staying. A return to Sparta Prague? No, not yet.
"I have one year left on my contract and know nothing about me not staying. The coach has told me he counts on me."
Rosicky made just sixteen Premier League appearances last season; but was vital in Arsenal's successful chase for a top four finish.
"Looking back at how badly we started, we have to be satisfied," Rosicky continued. "We were chasing it at the 11th hour. Naturally, we all would prefer to have finished higher, but it's good that we have salvaged at least the fourth spot.
"The league table does not lie. As it is, I think it's fair. We are a club which loses one or two important players each summer, so we have to replace someone each time and that's always difficult.
"It seems as if nobody is leaving and, on the other hand, that some players could join Arsenal. It would help us a lot."