"The most important thing for us today was to come away from Huddersfield with a result, ideally a win, but certainly not a defeat, to make certain we could keep our hopes of staying in the division alive", said Hodgson, whose side moved two points clear of the relegation zone and up to 16th place.
Palace comfortably worked their way through the final minutes to secure the much-needed points, but they might have come at a cost with Zaha limping off a minute from the end, but Hodgson will be more concerned with seeing his side find their way back above the top-flight trap door.
The return of Wilfried Zaha to the Palace starting line-up after over a month out with injury not surprisingly had a positive impact.
Goals in each half from James Tomkins and Luka Milivojevic secured a fully-merited victory for Roy Hodgson's Eagles, who outplayed their opponents for the majority of the game to send them off into the global break in good spirits.
North Korean foreign minister heads to Sweden amid summit speculation
Abe also reiterated his stance that maximum pressure must be kept on North Korea and that promises were not enough. She said,"we value this opportunity to arrange a meeting", though she didn't specify what she meant by that.
Tomkins nearly netted another on the hour mark but his shot at the far post from a unsafe Andros Townsend corner was hacked off the line by Town's Steve Mounie. Milivojevic's superb last-ditch tackle on Alex Pritchard denied the midfielder a shooting chance in front of goal following Collin Quaner's cutback.
Tomkins stabbed home from close range following a corner to give Palace a flying start and skipper Milivojevic converted a 68th-minute penalty after Andros Townsend had been brought down by Mathias Jorgensen.
"He is so good at carrying the ball and we noticed that in the second half for us".
Palace doubled their lead on 68 minutes, a terrible attempt at a slide challenge by Mathias Jorgensen seeing Andros Townsend upended and Mike Dean left with no option but to point to the spot.
Roy Hodgson has targeted another long unbeaten run after Crystal Palace's 2-0 win at relegation rivals Huddersfield kick-started their survival bid.