"He's probably the best under-18 goalkeeper in the country," Martin told BBC Radio Norfolk.
"If ever you wanted somebody in goal Jed's the one and he stepped up and made a fantastic save."
Steer, who turned 18 in September, made his debut for the England Under-19s in October, making the leap straight from the U17s.
The Canaries will now be in the hat for the fourth round draw in the new year after 17-year-old midfielder Matt Ball's 51st minute strike was enough to see off the Addicks at Carrow Road.
"Matt's been involved in the first team squad recently, he was captain on the night and played well," Martin added.
We're in the draw and we're still in the Cup after Christmas and that's what we were all trying to work to
Norwich City academy manager Ricky Martin
"But generally the whole team played very well, I was pleased with them.
"It was a really solid performance after losing to Charlton 3-1 in the league only three weeks ago and the lads fully deserved their win."
City have won the FA Youth Cup once in their history beating Everton in 1983 with a side that featured Jeremy Goss, who would go on to play 188 times for the Canaries.
Two seasons ago City made it to the quarter-finals, where they were overcome by Manchester City, and Martin is keen to make similar progress this time around.
"We got a good run then. You never know, you just have to see how each draw comes out," he said.
"But the nice thing is we're in the draw and we're still in the Cup after Christmas and that's what we were all trying to work to."
Source: BBC Sport
Source: BBC Sport