Everton had incoming executive chairman Marc Watts and other representatives from the Friedkin Group in attendance following the completion of their takeover on Thursday.
They witnesses a combative performance from the players, backing up last weekend's goalless draw at Arsenal with another solid defensive showing to keep their seventh clean sheet of the campaign.
Asked if it was pleasing to send the new owners home without seeing a loss, Dyche said: "It wasn't my only goal to do that, trust me, but it is a nice add-on.
"I have had a good meeting with them. They seem like really good people, very serious people, but in a nice, relaxed manner, sharing thoughts, and that has gone well.
"Of course, I said to you the other day, I'm not naive. You have got to win games."
The ex-Burnley boss added: "We take a point. I have never not been proud of these players. We've come through a storm. I respect them."
Dyche will point to a run of only two defeats in their past 12 games, but they have won just three of their 16 league matches so far this season.
The point inched them away from the relegation zone but it could have been so much more given the chances they were presented with.
Harrison had the best of those, but the winger failed to get off the mark this season with Sanchez making a smart save, while Ndiaye somehow was unable to bundle in from close range late on.
A testing December started with a 4-0 thrashing at Manchester United, but Everton have responded with three consecutive clean sheets and head to Manchester City on Thursday with a spring in their step.