The Premier League club named a strong side as they overcame the Shakers 6-3 in the second round of the Capital One Cup.
Anton Forrester, William Edjenguele and substitute Jessy Reindorf, who scored the goal of the game in injury time, were on the scoresheet for Bury but Blackwell thought his side would have scored more goals had it not been for Bunn.
"The Norwich crowd gave everyone of our players a standing ovation at the end. It was a game and half and their goalkeeper has got man of the match," said Blackwell.
"He's pulled off save after save and we've hit the bar and the post and had two strong penalty shouts. I'm proud of the players. It was a good performance.
"How we played was key, some of the Norwich players said when they came off the pitch that we play some good stuff so I'm pleased with the players overall."
- Sports & Recreation