Fears are growing that tensions in Britain over the controversial toppling of statues and monuments have spilled into Northern Ireland.
It comes as a group is to gather in Belfast after it issued a statement online saying it wants to protect war memorials.
The Northern Ireland Cenotaph Protection Group (NICPG) said it is taking the action in anticipation of another Black Lives Matter rally taking place in the city.
Its message, shared on Facebook, says it is not holding a "protest", adding it is there to "protect and defend only, not to inflame the situation".
The PSNI has said it is not aware of any anti-racism protests due to take place.
Anti-racism rallies have taken place in Belfast and Londonderry and no statues or monuments have been targeted during the events. However, in other parts of the UK a series of attacks on monuments - such as that to 17th-century Bristol slave trader Edward Colston - have taken place following the killing of African-American George Floyd by a police officer in the United States.
Ahead of protests planned this weekend, London's Cenotaph has also been boxed up and protections have been put in place at the statue of Sir Winston Churchill, which was defaced by graffiti during a recent protest.
Policing Board member Dolores Kelly appealed for calm, insisting the last thing the public here needs is tension around the issue.
"People have spent a long time anxious about their health and people they care about and we're starting to emerge after three months of lockdown," she said.
"The police don't need to be diverted from other things to deal with matters like this."
First Minister Arlene Foster said the targeting of the wartime political leader - who led the UK to victory against Nazism during the Second World War - was a "sad indictment" of the current climate in the UK.
"I think it's wrong to erase history, obviously we have to have a balance, look back at history to realise what has happened in the past and where we are today and the progress that has been made," she said.
Prime Minister Boris Johnson warned people to stay away from Black Lives Matter protests, predicting they would "end in deliberate and calculated violence".
The NICPG said its "desire is not for confrontation".
"We as a people and us as veterans served our nation to protect the ideals of freedom of speech, of conscience and the right to peaceful protests, even if we may not agree with what is being said," they continued.
"Our only interest in being in Belfast this Saturday is to protect our war memorials. We are not a counter protest, we do not have a political message. For those of us who served, we served beside men and women of all cultural backgrounds, and those veterans that have been in combat know, above all else, regardless of what colour you are, we all bleed red.
"All we ask is the BLM protesters leave these monuments alone."
It also outlines a code of practice to supporters which asks them to "stay silent" - "Any chanting, shouting, racial slurs or general aggressive behaviour will completely unravel and undermine anything positive we can bring to this action by protecting the monuments and play right into their hands".
It also advises supporters to "defend ourselves and public property within the extent of the law. Avoid unnecessary violence or confrontation. We are not thugs". The group also urges those attending to maintain social distancing rules "to the best of their ability" and wear masks.
Justice Minister Naomi Long has appealed to the public not to engage in "unlawful large gatherings" as the pandemic continues.
"The right to peacefully protest is an important civil right, which I defend. However, as with all rights, it comes with responsibility and it is not responsible to hold large gatherings at this time," she said.
Meanwhile, Assistant Chief Constable Barbara Gray said officers will be out on patrol across Northern Ireland, adding: "Where we witness breach of the regulations we will continue with our approach of engaging, explaining and encouraging. We will only enforce when necessary and appropriate."