The Clarets lost 2-1 as two second half goals in three minutes from Grant Hanley and Josep Drmic put Norwich in control of an entertaining fourth round tie at Turf Moor, before an Erik Pieters strike, 20 minutes from time, offered hope of a fightback.
Dyche said: “It felt like an odd game, and I know there's some will say 'after the lord mayor's show', but I don't think that was the case today.
“James Tarkoswki and Ashley Westwood were the two outstanding players on the pitch, full of all the energy and drive you need to be successful as a team, and alongside them there was no lack of will and desire.
“There were signs of what we can do, but it's a strange situation for us.
“We've had two very good and well-earned results this week, including an historic one at Old Trafford, and we wanted to win this one as well, not just because it was a cup game, but for the mentality.
“We put a side out that was more than capable, but we didn't find the details you need to win games and I'm disappointed we haven't come out as winners."