The Austrian had a fine season under Mark Hughes last term and has been linked with a big money move away as Tottenham and Newcastle line up bids.
AC Milan and a host of German clubs are also keen on the talented 25-year-old who notched five times for the Potters last season.
However Arnautovic is happy to stay with Stoke despite ‘bigger’ clubs reporting their interest.
“It’s just paper talk,” Arnautovic said.
“The season was good and now it’s over. I do not need to think about my future at the moment because it continues at Stoke.
“The important thing for me at the moment is to focus on the next few days with Austria, give everything, and then I can take a break.”
“The Premier League is clearly the strongest league in the world.”