The Reds ended City’s unbeaten record with Sunday’s 4-3 win.
Klopp said: “I’m really, really happy. I’ve had absolutely worse days in my life.
“Because I really respect the quality of the opponent. You can see what they do. You know you have to do this, deny that. Okay, possible but difficult.
“You need a really good football team to do that but thank God I’ve got one! they tried really hard today.
“It was a joy to watch how both teams threw everything on the pitch.”
Klopp felt the game was one which would have been enjoyed around the globe.
“It’s just a nice commercial for Premier League football to be honest.”