There has been plenty of speculation over Aubameyang's future at the club, with his contract due to expire at the end of next season but the forward clearly shares a great relationship with Arteta.
Aubameyang netted both goals in the win, converting a penalty in the first-half before producing an excellent finish and dinking the ball over Willy Caballero for his second.
Former Premier League winner Chris Sutton said on commentary for BBC Radio 5 Live that "Pierre-Emerick Aubameyang would cost zillions to replace" and Arteta is hopeful that his captain will stay.
Speaking after the win, Arteta said: "He knows what I think about him. I want to build the squad around him. I think he wants to stay and it is just about getting the deal done.
"But I think these moments will help him to realise and believe that we are in the right path and he is a big part of that. He is loved by everybody at the club. Hopefully he can continue with us."
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When asked if he thinks Aubameyang will sign an extension, Arteta simply replied: "I think he will, yes."
Despite Arteta's confidence that Aubameyang will agree a new deal, the forward refused to commit his future to the club when asked about it after the win.
"I'm really not thinking about this," Aubameyang said. "I just want to enjoy with the guys and take the trophy now."
Reacting to Aubameyang's comments, Rio Ferdinand claimed they suggest that he is on his way out, telling BT Sport : "I think he's [Aubameyang] gone from that reaction. He's already decided.
"'I'm going to enjoy this with my team-mates' - he sounds like someone who is going elsewhere. Arsenal need to do all they can to keep him. He was unbelievable, Jesus. But the arsenal fans adore him. Is he going to find that elsewhere in his career?"