Wes Hoolahan scored for the home side early in the encounter, before Victor Moses equalised in the second half for the relegation-threatened visitors.
The Latics are still bottom of the table despite the point; Roberto Martinez admitted that he is happy with a draw but that his forwards need to be more clinical.
“One of the reasons we don’t win more football games is that we lack that composure in front of goal and today is was clear,” the Spaniard told Sky Sports.
“But after going 1-0 down, I couldn’t be happier with the manner in which we played the rest of the game.
“It’s a positive result and we have to take that into the next game.
“I think it took us 50 minutes to get into the game. We knew – Norwich at home – that they play with real momentum and I felt that we got heavily punished in that period.
“We didn’t start the game as well as we wanted. But after that we found time and space on the ball, we grew into the game and, by the end, we had created the best chances.
“I felt we controlled the last bit of the game when we brought new players on,” he confessed.
By Gareth McKnight