His first was a brilliant 45-yard dipping effort, his second an instinctive hooked finish, the third saw him flick the ball over Leroy Fer before smashing home and he finished off with what is now becoming a trademark free-kick.
Suarez then provided the cross for Raheem Sterling to score after Bradley Johnson's late consolation.
"That repertoire tonight was incredible and I felt for the Norwich defenders," said Rodgers.
"When you come up against someone like that, a top world-class player, it is difficult to contain that.
"The first one was probably reminiscent of the one he had a couple of years ago (at Carrow Road).
"To actually hit it with that dip to get it over the keeper was outstanding.
"The second goal was great with a bit of improvisation to get in front of the defender and sweep it in but then I watched the third goal again and you look at that and think 'Goodness me, what a goal what was'.
"The free-kick doesn't surprise me because we practise that every week and you can see the quality and the power he hits it with.
"I think you could toss a coin between the first and the third."
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball