Switzerland remain bottom on three points.
The game between both teams was the first time the FA Cup final would go to extra time without a goal since 2007.
Liverpool now progress to yet another cup final this season having already won the League Cup earlier in the year and booked a place at Wembley for the FA Cup final.
“I had the feeling that with this result, we missed an opportunity, a feeling we left them alive,” said the Manchester City boss.
Sadio Mane saved the day for Liverpool with a priceless second-half equaliser in a gripping 2-2 draw with leaders Manchester City on Sunday.
Liverpool only needed to see out the closing stages to move up on the shoulder of Manchester City.
To top off a miserable night for Arsenal, Thomas Partey was sent off just 16 minutes after coming off the bench.
The result meant Liverpool moved onto 40 points from 17 games, one behind leaders Manchester City who beat Leeds United 7-0 on Tuesday.
Liverpool momentarily pushed away Manchester United from title conversations as the Merseyside lords mercilessly whipped the demons out of the Red Devils in their backyard.