The Republic of Ireland defender suffered a awful leg break a year ago but was superb on his full return to action against Leicester City ten days ago.
Goals from Gylfi Sigurdsson, Oumar Niasse and Tom Davies ensured the victory for the Toffees.
"There wasn't anything wrong with his performance in the second half".
"We have to be concerned about Palace's strengths but Zaha not playing could be an advantage".
The defeat means Palace are now winless in their last four league games (two defeats, two draws).Iceland star Gylfi Sigurdsson, who will face the Super Eagles at the Russian Federation 2018 World Cup, had an impressive performance for Everton as he scored his side's first goal and provided the assist for the third goal.
Having enjoyed a sharp upturn in form following Hodgson's arrival in September, Palace are now winless in four league games and, in the absence of Zaha for up to a month due to a knee injury, remain at risk of being dragged back into a battle against relegation.
Substitute Adam had only been on the pitch for around 10 minutes when his spot-kick was superbly saved by Albion goalkeeper Mat Ryan before the rebound was somehow cleared by Lewis Dunk.
The visitors had taken a first-half lead through a classy goal by Jose Izquierdo on 32 minutes, but Xherdan Shaqiri equalised for much-improved Stoke midway through the second half.
Swansea City may have secure d their most important victory when Ki Sung-Yueng swept home a fine right footed finish in the last 10 minutes to secure a dramatic 1-0 win against Burnley at the Liberty Stadium.
The Hammers are now 12th on 30 points with Watford 11th also on 30 points.