John Stones opened the floodgates before an emphatic finish from Gabriel Jesus and Sergio Aguero's first Premier League goal for 14 months from the penalty spot round off the scoring.
Zaha joins Championship clubs Millwall, Derby, Bournemouth and Brentford in no longer taking part in kneeling before matches.
"Taking the knee is becoming something that we just do now and that's not enough for me. I'm not going to take the knee, I'm not going to wear Black Lives Matter on the back of my shirt because it feels like it's a target. Unless action is going to happen, don't speak to me about it," Zaha said.
Premier League: Chelsea fail to ease pressure on Frank Lampard after draw against Villa; Leicester and Palace share spoils
Chelsea failed to ease the mounting pressure on manager Frank Lampard as Aston Villa came from behind to earn a 1-1 draw at Stamford Bridge on Monday, as a coronavirus outbreak at Manchester City caused their clash at Everton to be postponed.
Premier League: Son Heung-min, Harry Kane score as Tottenham win North London derby; Liverpool beat Wolves
Jose Mourinho's men beat faltering Arsenal 2-0 in front of 2,000 vocal fans at Tottenham Hotspur Stadium to leapfrog Chelsea.
Premier League: Crystal Palace star Wilfried Zaha self-isolating after testing positive for COVID-19
Zaha was missing from the Palace squad for their Premier League match at Burnley on Monday as a result of the illness.
Premier League: Manuel Lanzini stuns Tottenham with late equaliser in West Ham's fightback; Aston Villa edge Leicester City
Gareth Bale was one of the main Tottenham culprits as he missed a golden opportunity to wrap up the points before West Ham's Manuel Lanzini snatched a stoppage-time equaliser.
Premier League: Crystal Palace boss Roy Hodgson says speculation about future affected Wilfried Zaha's form
Zaha managed only four goals in 38 games this season as Palace, who lost seven of their last eight matches, finished 14th in the league.
Tottenham's Eric Dier says culture of abuse from spectators is a 'massive problem', stricter action needed against offenders
Dier, 26, was banned for four games and fined by the FA over a confrontation with a Spurs fan after the London side’s defeat on penalties by Norwich City in the FA Cup fifth round in March.
Bristol City's Famara Diedhiou subjected to racial abuse online after missing penalty against Swansea City
After the game, the Senegal international posted a screenshot of a message with three banana emojis, which he received from someone on Twitter. Diedhiou commented, “Why??”
Premier League: Manchester United, Leicester win to guarantee final-day shootout; Brighton all but safe from relegation
Before their final-day showdown at King Power Stadium, Leicester plays away to Tottenham on Sunday and United hosts West Ham on Wednesday.
Sheffield are seventh in the standings with 54 points, five behind Leicester, who occupy the final Champions League spot with three games to play.
Zaha asserted on the need for action, education and change after being a target of racist abuse before Crystal Palace's game against Aston Villa in Premier League.
Premier League: Crystal Palace’s Wilfried Zaha racially abused on Twitter; police arrest 12-year-old
Zaha tweeted images of the messages he received from an individual on Saturday, which included one of members of the white supremacist organisation the Ku Klux Klan.
Premier League: Aston Villa manager Dean Smith says officials need to do more to protect Jack Grealish
Aston Villa skipper Jack Grealish needs more protection from referees, manager Dean Smith said after the midfielder became the most fouled player in the Premier League this season.
Premier League: Marcos Alonso double sees Chelsea retain top-four spot; West Ham, Crystal Palace move away from relegation zone
Alonso opened the scoring in the 33rd minute with a crisp strike after Olivier Giroud struck the crossbar with an acrobatic flick, but Chelsea were punished for dwelling on that lead
Premier League managers vent anger at festive workload as injuries pile up among ranks
Premier League: Late strike from Wilfried Zaha helps Crystal Palace to draw against Brighton and Hove Albion
Crystal Palace’s Wilfried Zaha struck late to secure a 1-1 draw against Brighton and Hove Albion after Neil Maupay had put the visitors ahead in their Premier League clash on Monday.
Fantasy Premier League, Gameweek 17 tips: Jamie Vardy expected to score again; Mohamed Salah, Sadio Mane good picks for captain
Get all the tips, predictions and updates you need to whip your fantasy team into shape ahead of Gameweek 17 of the Premier League in our weekly FPL round up.
Fantasy Premier League, Gameweek 16 tips: Rely on Jamie Vardy as Big Six look to rotate squads; Richarlison, Wilfried Zaha are a risk
Get all the tips, predictions and updates you need to whip your fantasy team into shape ahead of Gameweek 16 of the Premier League in our weekly FPL round up.