He told BT Sport: "I was nervous for the first three seconds, and after that you get the atmosphere".
Tottenham were fortunate on a number of occasions to have not conceded at times, when Paulo Gazzaniga, who signed for them during last summer's transfer window, was on hand to make a number of important stops.
"For me, the most important club in the world is Tottenham and for me, it is the best club in the world", said Pochettino.
"It was hard circumstances for him, and he came in and did really well".
Palace stuck gamely to its task, repelling numerous crosses and limiting Spurs to long-range efforts, and home frustrations soon turned to fears when Harry Kane went down clutching his ankle after taking a kick from Tim Fosu-Mensah.
Wilfried Zaha scuffed wide after taking the ball around Gazzaniga - Palace's best chance - but Hodgson refused to single out the previous week's last-minute goal hero.
Gazzaniga also had to be alert to deny Luka Milivojevic's close-range header and Palace were made to pay for their profligacy.
But they had to wait until the 64th minute to find the victor today, with Son Heung-Min's superb effort from the edge of the box flying past Palace goalkeeper Julian Speroni to make it 1-0 with just over 25 minutes remaining. "We knew they'd dominate possession with the quality they have but we worked hard to restrict them and they didn't have many shots to worry us".
"At the other end I thought we had quite a few moments of our own so it's a bitter blow to lose the game 1-0".