The Gunners dominated the first half with Granit Xhaka firing them into an 11th-minute lead from Ben White right-wing cross.
Gabriel Jesus spurned further chances to double Arsenal’s lead with the Saints hitting back in a stronger second half with a neat Stuart Armstrong equalizer in the 65th minute.
“No complaints. This is football,” Arteta told reporters.
“We were really good in the first half and controlled totally the game, we created loads of big chances that we didnt put away.
“In the Premier League, unfortunately, if you dont do that when you are top of the game you can have some difficulties.
“In the second half we put ourselves in problems with the amount of giveaways that we had, especially with ball possession, and that didnt allow us to control the game the way we wanted.
“Their direct play and long throws and set pieces disrupted the game a lot. We tried to react and I still think in the second half the two biggest chances were ours but we didnt put them away.”
Gabriel Jesus, who has scored five league goals this term, was guilty of the most glaring misses including a bouncing chance late in the first half.
“I’m sure that today he will be disappointed because he had the chances to put them away,” Arteta said.
“Knowing Gabby, he’s disappointed when he scores two goals and could have scored three or four, so he can do that. But he’s having the chances and hes always there. He gives so much to the team and its a shame he couldn’t put them away today.”
The result means Arsenal are still top but only two points ahead of champions Manchester City who beat Brighton 3-1 on Saturday.