The Magpies beat Cardiff 3-0 at St James' Park to secure their first win since March 22, relegating the Bluebirds in the process.
The game was played out amid a tense atmosphere as home fans, several thousand of whom walked out at two pre-arranged points in the second half, aimed chants at Pardew and owner Mike Ashley.
The 52-year-old, who was booed by a section of the crowd whenever he stepped out of the dug-out, chose not to join the players on the pitch after the final whistle.
Alan Pardew: "I am frustrated a little bit, of course.
"Some of the criticism has been a little bit left-field and a little bit over the top, and that's fuelled the anger here.
"You have to accept that, unfortunately, when you lose six as a Newcastle manager.
"They are upset, they are angry - I understand that. I apologise to them for the last six games and hopefully, we have taken a very, very small step towards them.
"Coming to the sideline, I was only antagonising them and I don't want to do that and make the atmosphere worse for the players, so it seemed a lot more sense to let [assistant manager] John [Carver] do that and take a seat."