Swansea City produced an outstanding away display to continue their fine run of form and secure a first victory at Carrow Road in 15 years.
Head coach Martin, back at the home of the club he served with such distinction as a player, saw the Swans surge into a two-goal lead thanks to headers from Joel Latibeaudiere and Liam Cullen.
The hosts were then reduced to 10 when Sam McCallum brought down Cullen as the striker threatened to add a third.
Olivier Ntcham added to Swansea’s tally after the break as they made it three wins in a week and six wins in their last seven games.
This was also a fifth clean sheet in that sequence of results and there was no doubting the visitors superiority against a Norwich side still harbouring play-off ambitions.
The visitors had made three changes from the midweek win over Preston as Ntcham, Jamie Paterson and Luke Cundle came in for Harry Darling, Joe Allen and Ollie Cooper.
On a lovely spring afternoon, the Swans made a slick start, brimming with confidence from their excellent recent run of form.
They twice worked Ryan Manning in down the left-hand side but the Irishman saw his attempted balls to Joel Piroe and Ntcham cut out.
Ntcham then fired over after a smart move involving Manning and Paterson had ended with Piroe just being unable to turn on the edge of the box.
Manning then made an important block after Onel Hernandez had beaten the offside trap to get into space and deliver from the byline.
Marcelino Nunez got in on the opposite flank a few minutes later, but his driven cross evaded everyone.
Fisher held a Nunez free-kick that was straight at him before the visitors spurned a great chance to take the lead.
Ntcham produced a brilliant ball to send Cullen scampering in behind his man, but Angus Gunn got down to divert the striker’s shot wide.
But Swansea did not have to wait long to take the lead as, from the resulting corner, Manning delivered and Latibeaudiere attacked the ball to head the ball into the bottom corner.
Swansea threatened again seconds later, Latibeaudiere driving upfield to find Paterson, whose shot was blocked.
The big chances were going the way of the visitors, and Paterson dragged wastefully wide after being played in by Cundle just past the half-hour mark.
And the Swans did double their lead six minutes before the break.
Cundle, Paterson, Ntcham, Matt Grimes and Manning pulled the Canaries to pieces down the left.
Manning’s initial cross was blocked, but he showed the presence of mind to adjust and prod the bal to the far post for Cullen to nod in.
Norwich’s day got worse when Piroe sent Cullen in again and McCallum brought him down as he bore down on goal and referee David Webb took a moment before producing a red card.
Manning whistled a half-volley just wide of the post after being picked out by a lovely Piroe pass which meant the visitors’ lead remained at two at the interval.
Swansea started the second period by moving their hosts around and waiting to open up pockets of space with the Canaries a man down.
Paterson saw a deflected strike head straight into the grateful gloves of Gunn. Before Ntcham sent a great ball across the six-yard box that just evaded Cullen.
The hour mark came and went with Swansea in control, and they gave the Canaries another scare when Cullen nearly got to Gunn as he dallied dealing with a backpass on his own goal-line.
And the third goal came via a superb move with Cundle the instigator, driving infield and linking with Piroe before finding Ntcham.
The Cameroon international shrugged off the attentions of two markers and coolly slid the ball under the advancing Gunn and cap an excellent afternoon's work in East Anglia.
Swansea City: Andy Fisher; Joel Latibeaudiere, Nathan Wood, Ben Cabango, Ryan Manning (Kyle Naughton 87); Matt Grimes (captain), Olivier Ntcham (Ollie Cooper 79), Luke Cundle, Jamie Paterson (Morgan Whittaker 66); Liam Cullen (Cameron Congreve 87), Joel Piroe.
Unused Substitutes: Andreas Søndergaard, Harry Darling, Matty Sorinola.
Norwich City: Angus Gunn, Max Aarons, Andrew Omobamidele (captain), Adam Idah (Sam Byram 44), Sam McCallum, Gabriel Sara, Jacob Sørensen, Josh Sargent, Onel Hernandez, Marcelino Nunez, Liam Gibbs.
Unused Substitutes: Tim Krul, Isaac Hayden, Christos Tzolis, Teemu Pukki, Jonathan Rowe, Abu Kamara.
Referee: David Webb