After drawing twice and losing three times in their opening five games under new manager Brendan Rodgers, Liverpool started the day in the relegation zone but ended it in mid-table after a youthful-looking side gave a possible glimpse of the future.
When they beat West Bromwich Albion in the League Cup on Wednesday, Rodgers brought on Jerome Sinclair, aged 16 years and six days for the last nine minutes to become the youngest player ever to pull on a red shirt for the senior team.
Gerrard's strike took a deflection as Liverpool dominated from start to finish.
Rodgers told the BBC afterwards: "We were outstanding, but I am not surprised. We played well and took our chances and I thought we were fantastic.
"For us to come here and score five goals was outstanding."
He said he was also impressed with his young players, explaining: "They know they are not on their own, they have nice technique on the ball which is important. They are learning tactically all the time and they have got wonderful senior players who can help them."
The only negative, said Rodgers, was that Norwich scored twice through Steve Morison and Grant Holt, "that would be the only negative from today," he said.
"The result was incredible and hopefully we can get more wins and keep scoring more goals," he said.
