The Magpies had the perfect chance to add to Demba Ba's opener but Cisse hit the spot-kick over the bar.
"It shows the spirit of the team that they wanted Papiss to take it because he hadn't scored this year - they invited him to step up," said Pardew.
Pardew hopes Ba form continues
"It was not really what I wanted to see because he missed one in pre-season."
Newcastle could not increase their advantage in the second half as Ba, Cisse and Obertan all went close.
Cisse, in particular, appeared to be suffering from a lack of confidence and he was eventually substituted.
"I wanted my best penalty-taker to take it," said Pardew. "Usually Demba or Hatem [Ben Arfa] would have taken it so I was a bit surprised - but I could understand the reason and it was important I didn't tell them [the team] off for it at half-time because it was a blow to them that we missed it."
Pardew was, however, pleased to see Ba score the winner in a tumultuous week.
"That all got blown out of proportion with Demba, but he is a player that will have to be rested now and again," added Pardew.
"He can't play every game. We took that option at Everton and he came off the bench to change the game and he was our match-winner today.
Hughton seeks winning 'formula'
"That is what we want Demba to do, but we have to protect him too because there are a lot of games left to play."
Andrew Surman, Wes Hoolahan and Robert Snodgrass missed good chances for Norwich, but the Canaries are still without victory in the Premier League this season.
"We stuck in there, showed a lot of spirit and determination, and we looked to create opportunities ourselves," said manager Chris Hughton after returning to his old club.
"It is just our work in the final third and having that little bit of fortune. We are certainly playing the right way, pushing teams and trying to get those elusive goals, and I am sure that if we keep playing the same way they will come."
This page is best viewed in an up-to-date web browser with style sheets (CSS) enabled. While you will be able to view the content of this page in your current browser, you will not be able to get the full visual experience. Please consider upgrading your browser software or enabling style sheets (CSS) if you are able to do so.