The Uruguayan bagged a quickfire double in the first half before a moment of pure inspiration late on put the icing on the cake of a very comfortable win for the Reds
A lackluster opening period was pierced by Suarez twice in quick succession, first profiting from Steven Gerrard’s smart interception and pass to coolly strike, then capitalizing on an Elliott Ward mistake before unerringly depositing home.
Norwich was improved but unable to breach the Liverpool defense in the second half and Suarez killed the game with a sensational long-range chip from just inside the opposition half.
Norwich immediately lost Adam Drury to a groin injury but it took until the 17th minute for anyone to find a chance in a very slow start. Suarez advanced down the inside-left channel and aimed a pass towards the far post, but Stewart Downing was wrong-footed and clumsily failed to control his touch.
Midway through the half, the drabness was suddenly punctured by Suarez. Gerrard made the chance, pouncing on the lax Fox and playing the Uruguayan through the middle, who dispatched a left-footed effort with little fuss.
Suarez capitalized again shortly after on another defensive lapse from the hosts, Elliott Ward meekly letting the forward belt past him on the Liverpool right. The 25-year-old arrived at the corner of the box and took aim, finishing with the utmost precision.
Liverpool kept pushing the wounded Norwich and wanted a penalty when Ward appeared to hold Suarez back in the area, but Mark Halsey turned it down. The center back was booked shortly after as the Uruguayan cleverly played it past him, having been let in by another loose ball, this time from Ryan Bennett.
Five minutes after halftime the Canaries finally had their first shot, Elliott Bennett producing a slightly swerving long-range effort that Pepe Reina turned away.
Norwich was growing into the match, Morison firing wide with a deflection before Elliott Bennett again tried his luck, this time failing to get it on target.
Suarez might have killed the Canaries off, though, if he had elected to shoot conventionally rather than flamboyantly chip over when he made space with a perfect nutmeg to bypass Ryan Bennett.
Halftime substitute James Vaughan nearly made him regret the miss, too, when he turned and fired not far past the post, while Ryan Bennett's more physical counter was to heftily and blatantly crash into the forward, perhaps lucky only to be booked.
As Norwich bustled ineffectively, though, Liverpool broke, with Suarez nabbing the ball on the halfway line and, spying Ruddy slightly off his line, launching an inch-perfect shot from an enormous distance to put the finishing touch on his first hat trick for the Reds and a convincing three points, keeping Dalglish's side two behind Everton in the table.