The Swedish international, who is on a season-long loan from Galatasaray, helped the Canaries earn a 6-3 victory in the second-round tie at Carrow Road.
"It was really nice to come on the pitch here and play, it was also nice to play 90 minutes as it is a couple of months ago since I last got 90 minutes," Elmander is quoted as saying by Sky Sports News.
"It was really fun. It is always nice to win, especially after losing at the weekend. We played well, we were very good."
Norwich turn their attention back to the Premier League on Saturday when they host Southampton.