The Arsenal manager was involved in a heated spat with Klopp on the Anfield touchline.
The two managers became enraged, with Arteta furious in a rare show of emotion, confronting Klopp and both were shown yellow cards for their actions.
And former Manchester United defender, Ferdinand sees the incident as an avoidable mistake from Arteta, adding that the Spaniard showed his naivety by doing so.
“I watched the game and Liverpool just turned the screw. They turned the screw after Arteta and Klopp’s spat on the touchline, which Arteta started,” Ferdinand told Vibe with FIVE.
“That was naive, for me. At Anfield you don’t want to be gassing up that crowd and whipping them up.
“You have a go at Klopp the way you do when you’re 1 or 2-0 up, not when you’re still in the game and the game’s on a knife edge.
“I think that was a little bit of naivety on Arteta’s behalf.
“I’ll give him the benefit of the doubt because he’s a young manager, so I think he’ll learn from that.”