City have taken only one point from five home games so far, and the fans vented their frustration on the rookie manager.
But he said: "I'm working as hard as I can and I will continue to do so until someone tells me otherwise.
"Confidence is fragile at the moment, particularly at home, so the first goal today was always going to be important.
"Luck went against us with a ricochet that sent their striker through, but with three centre-backs we shouldn't have let him in behind us.
"I've no complaints about the penalty awarded against us for handball and a third Norwich goal was inexcusable.
"Nobody took responsibility for organising our defence when we pushed forward for a free-kick and their goalkeeper's clearance led to an open-goal chance. You can't legislate for that.
"We now have a two-week break in which to work on the training ground to find the right formula. I believe we have the personnel here to climb the table, but we need to go to Cardiff for our next game in a positive frame of mind."