The 18-year-old has developed into one of the country's brightest talents and is likely to form a key part of Arteta's plans ahead of the north London derby on Sunday.
"First of all, enjoy the moment," said Arteta.
"Football has some really good moments and some difficult moments. You are doing so well, enjoy it. But then understand, this changes in 24, 48 hours. You have to live on your toes all the time ready to react and act.
"Bukayo is like this. Every training session he doesn't give you any sign that there's something different. There are going to be moments when he was a little bit up and down. It's normal because it happens to every single player, whether you are 18 or 38. He needs to understand that, take it naturally and we are here to support him, to try to make him better, and that's it. Enjoy!"