Sadio Mane put the hosts ahead just before the hour mark, but the electric Foden levelled for City ten minutes later, expertly firing into the far corner beyond Alisson.
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Jurgen Klopp's side led again after Mohamed Salah's goal, but City dug deep and found another equaliser, this time from Kevin de Bruyne with nine minutes to go in the encounter.
Foden, who was named Man of the Match after a stunning display, feels that City showed their grit, determination and character to come back from behind twice.
"It’s very difficult to come here with the fans, it's one of the most difficult places to come to and I feel we dealt with it very good today," he said.
"It was end to end at times, it was such a brilliant game, on another day we could have come away with the three points.
"It shows our character. We’ve not won here a lot, but we carried on with our football after going behind and we played really well today."
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City dominated the first half largely because of the lively Englishman, who could have scored earlier, but when given the opportunity after the interval, he ruthlessly found the bottom corner.
"It was quite disappointing not to be ahead at half time," he admitted. But we kept the momentum going into the second half.
"There wasn’t a lot of room to put it across the goal. I just put my laces through it and was just happy to see it hit the back of the net."