All four goals came in a stunning second half where Kevin De Bruyne rescued a point for Pep Guardiola's side.
The draw sees Liverpool remain in second place with City behind in third.
"What a game. That's the reason [over] the last years Man City and Liverpool are always there because we try to play in this way," Guardiola said.
"Unfortunately we couldn't win -- but we didn't lose.That's why the Premier League is the best. It was great, really great."
City dominated the first half and Liverpool needed Alisson to produce fine saves to twice deny Foden.
De Bruyne should have put the visitors ahead 10 minutes before the break but his close-range header went over the bar.
Liverpool went ahead after 59 minutes after Salah skipped past Joao Cancelo to set up Mane to finish past the goalkeeper.
City scored a deserved equaliser 10 minutes later when Foden produced a fine finish from a tight angle.
Salah restored Liverpool's lead with a stunning solo goal where he jinked past four defenders and slotted the ball over the Ederson.
The champions responded once again five minutes later as De Bruyne's effort deflected in off Joel Matip.
Klopp made no attempt to sugar-coat his team's first-half display.
"We were too passive with and without the ball and played right into City's hands. That was the worst half we have played against them," he said.
"I was more than pleased when I heard the whistle for halftime because we had to adjust a lot of things and we did.
"Second half was completely different. If we only played the second half I would have loved to have won but with the first half I am happy with the point."
The Liverpool boss also praised Salah for his sensational goal: "Only the best players in the world score goals like this. It was the first touch, the first challenge he wins, the going there and putting it on his right foot and finishing the situation off like he did. Absolutely exceptional.
"Because this club never forgets anything, people will talk about this goal for a long, long time, in 50, 60 years, when they remember this game.