The Baggies suffered their heaviest defeat under Steve Clarke as Norwich triumphed at Carrow Road to secure Premier League safety.
Brunt, who returned from injury as a second-half substitute, said: "We're not disappointed - more like a little embarrassed.
"There's not much else I can say. We didn't create much and every time Norwich went forward they looked like scoring. We weren't good enough.
"It's not like us at all, we haven't been like it all season. We played like a team on our holidays, which is disappointing.
"We have been talking all season about getting 50 points and making sure we get eighth place.
"It was a good chance to come and cement it but we let ourselves down and the travelling supporters down."