Despite spending big on the likes of Ricky van Wolfswinkel, Gary Hooper and Leroy Fer over the summer, the Canaries have struggled in 2013-14, scoring only six goals in 10 Premier League games, and sit 18th in the table.
Hughton has been criticised by some fans both before and after Saturday’s hammering at the Etihad Stadium but Martin told BBC Radio Norfolk: "We're all behind the gaffer. That still remains the same.
|NORWICH CITY LATEST
|28/1||Norwich are 28/1 with BetVictor to beat West Ham 3-0|
"We're humiliated," he added of the defeat. "What is there to say about that performance?
"You can say what you like about tactics and how you prepare but the bottom line is, with the exception of John Ruddy because he made some good saves, it was nowhere near good enough.
"I'm sure we're going to take [criticism] all week until the next game.
"When we win, we deserve the praise and, by the same token, after that we deserve what we get from the media, fans and ultimately ourselves. We are embarrassed and hurt."