The Magpies bowed out of the competition 4-2 on aggregate, but Pardew said that he could not have expected any more from his players.
"No regret, in terms of the gameplan, they are a good side, so you can't let them have the lead. We almost got one before half time and in the second half we [knew we] would give them a real good seeing to," he told ITV Sport.
"I can't ask for anything more from the crowd and the players.
"You have to respect the opposition, they are a superb side, they have three or four players there that will be around in European football for 10 years. I am proud of the players, you can't ask for any more. I'm proud of the performance and the way they played."