The Saints dominated throughout at St Mary's on Saturday and were full value for a convincing 4-0 success.
England internationals Jay Rodriguez, Rickie Lambert and Adam Lallana did the damage on the south coast, with Rodriguez netting twice to take his tally for the season to 17.
Pochettino admits that he could not have asked for any more from his players, with a 'complete' performance lifting Southampton back into eighth spot in the Premier League table.
He told Sky Sports: "I don't know if it was the best performance of the season, but it was certainly a fantastic game.
"Our players put in an amazing effort and they fully deserved the victory today, our fans deserved the victory today, and we had an amazing game.
"I think everything went well for us. We had a brilliant first half, we completely nullified Newcastle and didn't let them do anything in the entire game.
"We controlled the game, we dominated the entire game and we gave our best. We wanted to give this amazing victory to our supporters and we're really happy for them.
"A 4-0 is an outstanding result. It's a complete match for us. We're pleased with the match. To not concede any goals was an amazing performance by our players."