"It was a really good individual performance from Reece because Zaha is a big threat on the flanks and one-on-one", Lampard said.
"I'm proud of them and I believe in them and with Reece, Azpi's our captain, I spoke to him before the game, he's a great leader for the club and so important for us", Lampard told BT Sport after the game.
"But you never know with young players until you put them in, and when you put them in as a group even more so".
"I trust in Reece defensively so really, really impressive game for him and he's going to get much better".
It was the 300th Premier League game as coach for Palace's Roy Hodgson, whose team showed good early-season league form but is now on a four-game winless run. He broke the deadlock soon after.
Mateo Kovacic's dribble and pass in an all-star performance found Willian, whose deft touch left Abraham one-on-one to beat Vicente Guaita.
Trying to spoil that Chelsea party is Crystal Palace, who has had a solid start to the season and will look to rebound from a tough loss at home to Leicester last week.
The most fantastic piece of skill came from the boots of the United States worldwide who, for a moment, looked like Eden Hazard when he produced the skill of the game in a first-half dribble and shot.
The win was Chelsea's sixth in a row in the Premier League and marked their third clean sheet of the season.
Chelsea also started James' fellow academy alumni Fikayo Tomori, 21, Mason Mount, 20, and goalscorer Abraham, 22, against the Eagles, as well as bringing Callum Hudson-Odoi, 19 and Billy Gilmour, 18, off the bench.
Chelsea manager Frank Lampard handed midfielder N'Golo Kanté his first league start since October 6 in place of Jorginho, who was suspended.