Chamakh has recently been strongly linked with a move to the Italian side.
He told Sky Sports: “I want to make my name in the Premier League.
“I started well last season and lost my way. However, I want to make a name for myself here.
“I’ve heard a lot of rumours about me leaving the Gunners, but I have a contract here. I want to honour it and make myself No.1 in my position. I am looking forward to that.”