Mohamed Salah scored a brace within 13 minutes of the restart to make the Reds comfortable for the remainder of the second half.
Speaking after the game, Klopp revealed he told his players to up their tempo during the interval.
He said: "I said at half time to the boys, "how do you think they [Arsenal] feel?" because it was an intense first half, and they had to make all the runs as well. We did them, but they had to make them as well.
"I really thought the tempo, we put in the game from the beginning was incredible, was really incredible. There was no time to breathe.
"Adrian, catch the ball (throws out), go. Robbo gets the ball, goes, oh really, again? We did it constantly. I like that."