The LCC claimed the flag was backed by loyalist paramilitary groups and said it hoped it would be flown instead of ones by such groups.
Mrs Bradshaw said a cautious welcome could be given to anything which potentially saw the removal of paramilitary flags from street furniture.
“Any removal of paramilitary flags is a step in the right direction. However, I have been informed of some paramilitary flags still being erected only yesterday, so the proof is going to be in the pudding with this matter.
“there is also a bigger issue here – 18 years after the Good Friday Agreement, paramilitaries should not exist, never mind be giving permission for flying of flags in our communities.
“Flag-flying from lampposts is often used to mark territory and intimidate others, while ensuring space is not shared. Alliance wants to see a respectful approach to flag-flying that creates a fair balance between the right to celebrate events with legal flags and the right of everyone to be safe and welcome in our community.”