Goals from Bakary Sako and Joel Ward, with a first Chelsea strike for Radamel Falcao sandwiched in between, saw Palace secure their first win at Stamford Bridge since 1982.
It also saw the London side mark a third win from their opening four games this season, and Pardew was delighted with his side, who now sit second in the early league table behind leaders Manchester City.
“It was a really good performance today – one of the best performances I’ve seen from one of my teams in terms of composure,” he told reporters.
“We can frighten teams with our pace and we did that from start to finish. Our defenders had to defend really well and they did.
“We’ve added new players but haven’t lost our spirit. We have got technically better players than last season.
“I’m not saying we’re contenders for Europe but we’re a good side.”
Palace’s victory was only Mourinho’s second defeat as Chelsea boss at Stamford Bridge, and Pardew was delighted to breach a previously impregnable fortress.
“It’s difficult to try to overcome the quality of not just the team, but the manager here. We did it. There was a belief in us today.
“Mourinho is the top man, he was very honourable in defeat today.
“You can nick a win here, you can park the bus or whatever you want to call it.
“I don’t think we did that today. We were on the front foot and tried to hurt Chelsea as often as we could.
“Two goals didn’t flatter us at all. It was a great game. You have to pay great credit to Chelsea because they pushed and pushed.”