The 31-year-old striker, who joined Arsenal from Borussia Dortmund in January 2018, has a year remaining on his current contract.
“We have had some really good talks with him and his agent and I am pretty confident we will find an agreement soon. That’s my feeling,” said Arteta.
Arteta is also “pretty positive” Lille defender Gabriel Magalhaes will join.
Arsenal has been strongly linked with the 22-year-old and the Press Association reported the Brazil center-back underwent a medical this week.
Former Gunners captain Arteta, who replaced Unai Emery at Emirates Stadium in December, said: “We can’t announce anything yet, the deal is not finalized.
“He is a player we have followed for a long time and hopefully we can get it done. Sometimes in the final stages, it is not as easy as it looks, but again we are pretty positive we can do it.”
Gunners finished eighth last term but qualified for the Europa League along with Leicester and Tottenham by virtue of their FA Cup final win against Chelsea when Aubameyang scored twice.