"We smile because we took three points", he replied.
"It wasn't easy to play here against a team that was hard to break down", he added.
Tottenham's victory sees them, temporarily at least, move up into the top four, while Palace remain embroiled in a scrap for survival.
With rivals, Chelsea losing away to Manchester United later on in the day, Harry Kane's victor secured a two-point cushion on the Blues.
That effort was the 24-year-old's 35th in just 36 outings already this season and saw him match his goal tally for the entire 2016-17 campaign. The first one he tried to get the ball into play quickly and then maybe made a mistake.
"You can call it, confidence, trust, belief in yourself, patience. He would be the player I would least like to lose in the last ten minutes", the Palace manager said.
Pochettino was full of praise regarding Sanchez and Dier, stating:"He (Dier) and Davinson were fantastic".
Now without a win in five Premier League games, Roy Hodgson's injury-hit side sit 17th, only out of the relegation zone on goal difference.
Dier demonstrated his versatility as the Lilywhite's suffered from injuries to their key defensive players.
Walmart Changes Gun Sales Policy
Dick's said Wednesday it will immediately stop selling assault-style rifles and ban the sale of all guns to anyone under 21. Clearly this indicates on so many levels that the systems in place are not effective to protect our kids and our citizens.
Plus500 (LON:PLUS) Earns Buy Rating from Libertas Partners
COPYRIGHT VIOLATION NOTICE: This report was first posted by The Lincolnian Online and is the property of of The Lincolnian Online. They now have a GBX 100 ($1.38) price target on the stock, down from their previous price target of GBX 170 ($2.35).