"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.
Football authorities in Britain have sent an open letter to social media companies calling on them to do more to stamp out abuse following a spate of recent incidents.
A number of players including Manchester United trio Anthony Martial, Marcus Rashford and Axel Tuanzebe, as well as Chelsea full-back Reece James, have been targeted on social media in recent weeks.
Premier League: Instagram announces new security measures following string of racist attacks on footballers
A number of high-profile players including Manchester United trio Anthony Martial, Marcus Rashford and Axel Tuanzebe, as well as Chelsea full-back Reece James, have been targeted on social media in recent weeks.
Marcus Rashford tweeted: "Yes I'm a black man and I live every day proud that I am. No one, or no one comment, is going to make me feel any different."
Premier League: Kingswinford man arrested on suspicion of racially abusing West Brom midfielder Romaine Sawyers
The Premier League club had reported to police on Friday that a racist message was sent to Sawyers during the team's 5-0 loss to Manchester City on Tuesday.
Premier League: Ole Gunnar Solskjaer says racist abuse aimed at Manchester United players 'unacceptable and disgusting'
United issued a strongly-worded statement on Thursday demanding stronger measures against "mindless idiots", with Solskjaer echoed that message at his pre-match press conference on Friday.
Premier League: Manchester United slams 'mindless idiots' after Anthony Martial, Axel Tuanzebe face racist abuse online
The 2-1 defeat to Sheffield United sparked a torrent of online invective aimed at Manchester United's players, including racist abuse aimed at defender Tuanzebe and forward Martial.
Premier League: Ole Gunnar Solskjaer encourages Manchester United strikers to follow Edinson Cavani's example
Cavani, 33, showed all his predatory instincts and wealth of experience as United came from behind to beat Fulham 2-1 on Wednesday.
Champions League: Manchester United to face RB Leipzig without injured strikers Anthony Martial, Edinson Cavani
After losing 3-1 at home to Paris Saint-Germain last week, Ole Gunnar Solskjaer's side head into their final Group H game level on nine points with the French champions and their German opponents.
Champions League: 'We weren’t good enough,' Manchester United's Ole Gunnar Solskjaer lambasts team after Basaksehir defeat
Manchester United conceded an embarrassing early goal before slumping to a 2-1 loss at Champions League newcomer Istanbul Basaksehir on Wednesday, throwing their group wide open.
Cavani is not travelling with the United squad to Paris as he was not deemed fit enough to play after seven months out of action.
World Cup winner Pogba has been replaced by teenager Eduardo Camavinga, who was called up for the first time alongside Lyon midfielder Houssem Aouar and RB Leipzig defender Dayot Upamecano.
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.
Premier League: Manchester United's Champions League hopes in jeopardy after draw against Southampton
Leicester City are fourth, ahead of United on goal difference, with Chelsea third on 60 points. City and title winners Liverpool have already secured Champions League places for next season.
Rashford and Martial have contributed 19 goals each in all competitions while Greenwood has scored 12 but Solskjaer said the trio still have to earn their spot.
Premier League: Liverpool on brink of title after thrashing Crystal Palace; Anthony Martial scores hattrick in Manchester United win
Liverpool moved to the brink of a first league title in 30 years with a 4-0 victory over Crystal Palace on Wednesday at an empty Anfield — a stadium that normally has such a raucous atmosphere it has become one of the most intimidating venues in world football for visitors.
Manchester United's Ed Woodward says club in 'rebuild' mode as Champions League absence proves costly
Manchester United are in “rebuild” mode as the English football club chases a return to the European Champions League, Executive Vice-Chairman Ed Woodward said after financial results were dented by the team’s absence from this season’s tournament.
Creative midfielder Bruno Fernandes has slotted seamlessly into the United team since his January move from Sporting Lisbon
Chelsea have said they will ban a large group of Manchester United supporters who made homophobic chants at Monday’s Premier League match at Stamford Bridge.