The Baggies' latest loss has seen Steve Clarke's side pick up just four points from a possible 21, having suffered defeat in their last three games to end an otherwise positive campaign on a whimper.
After goals from Robert Snodgrass, Grant Holt, Jonny Howson and a Gareth McAuley own goal for the Canaries - which saw Norwich confirm their biggest Premier League win in nearly 20 years - Brunt spoke of his embarrassment.
"From start to finish, Norwich played like a team that needed to win," he told reporters after the game. "They got what they deserved, they were miles better than us today and they deserved to win.
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"Norwich had a lot at stake today, every single one of them played like their lives depended on it, and credit to them they got the result they deserved.
"Individual mistakes have cost us as well. You expect people to make mistakes, but we didn’t do enough for each other to dig each other out when the mistakes were made.
"That’s disappointing, as for the last two or three seasons that’s been a big characteristic of us. We’re a good honest set of lads and we work hard for each other, and it was disappointing today."
Despite their latest setback, Brunt believes his side will come out with intent in their last game of the season at home to Manchester United and look to spoil what will be a special occasion for the retiring Sir Alex Ferguson.
He added: "Obviously Sir Alex Ferguson is a one-off guy, and we’ll of course pay our respects for the things he’s done for British football and the achievements he’s had over his career, which is second to none.
"But, when we get on the pitch we want to win the game, it’s another football match. That’s our job, and after the performance we put on today I’m sure that the least we can get out of it is 100 per cent effort. It’s our last home game, we want to go out on a high. "
Meanwhile, Norwich goalkeeper John Ruddy was delighted to make his return for the Canaries after five months on the sidelines with a thigh injury and help the home side secure their Premier League survival.
"Five months is long in anyone’s season," he said. "It was really nice to be back in and to be in a game of that manner where we came out and showed what we’re about. It was fantastic. It was good to come through the match, not feeling anything from the injury as well.
"It’s a weight off your shoulders that we’ve been carrying around for over 20 games. A lot of people look at us and say that we’ve only won three in 20 now, but a lot of people forget we went on a 10-game unbeaten run, we beat the likes of Arsenal and Manchester United here, so we knew we had that in us today."