The youngster was involved in an unsavoury incident with Brighton's Neal Maupay in the team's last game.
He was also reportedly taunting the Brighton players during the game about how much money he earned.
And Arteta believes that everyone must adhere to the club's values when they are on the field.
"More personal issues or behaviours, I like to deal with them on a personal level, in the dressing room, and don't make them public," Arteta told reporters.
"Obviously I don't like it, but I don't like either to put words in the newspaper, or use somebody to put words in the newspaper for you to talk about what has been happening on the pitch, because if 22 players do that every three days that will be a circus.
"It's not about learning, it's about experiencing certain things and some behaviours that you expect as a manager, as a club, to represent each other, and ways to show frustration or happiness.
"We have so many different cultures in our team, they've been educated in different ways and I have to understand and accept that as well.
"But we need to know that we have a route, we have certain ways, we have some values and you have to be within that."
"You can't cut edges off players, you have to be clear what you expect and publicly as well, what they have to represent," he added.
"But that drive, that aggression that sometimes a player has to show is part of why they are football players and why they are competing at this level."