"We welcome the return of campaigning politics against all forms of discrimination and oppression to an event that celebrates Stonewall, the original LGBT rebellion against police brutality in New York in 1969."
Carolan was referring to the Stonewall riots that erupted after police raided a gay bar in Greenwich Village in June 1969.
"In recent years, this radical message has been pinkwashed out of existence by corporate dominance," Carolan said.
"Workers are finding our confidence again in New Zealand and we will be marching in solidarity with our gay, lesbian, trans and queer comrades until we all are free and liberated."
Last week, the Pride Parade board decided to ban uniformed police officers from marching at the event because some members of the rainbow community felt unsafe participating with a police presence.
The parade's board chair Cissy Rock said this week they remained committed to holding the event.
"The 2019 Auckland Pride Parade was always intended to be a place to cultivate our roots in activism and protest," Rock said in a statement.
"We have always welcomed business groups and institutions who wish to participate in a way that works for the safety of all members of our Rainbow community.
"Unfortunately, institutions such as the police were not able to compromise with the Pride board despite months of consultation with the community that highlighted more work needed to be done in order for participants to feel safe with the police's presence in the parade.
"The Pride Parade is so much more than its corporate sponsors or government institutions. It is about our Rainbow community coming together to both celebrate and fight for a future where everyone is free from systemic discrimination."
NZME's diversity committee head Kylie Telford said NZME decided to remove its sponsorship of the Auckland Pride Parade after the board's decision not to let New Zealand Police walk the parade in uniform.
"As an organisation we wholeheartedly support inclusivity, acceptance and celebration of the LGBTQ+ community, and do not agree with the board's exclusion in this way.
"We will continue our support of the Rainbow Community through different avenues."
The Pride Parade's founder, Gresham Bradley, called for the sacking of the board on the AM Show this week while MPs from across the political divide expressed disappointment with the Pride Parade board's decision.
Police Minister Stuart Nash said he was "extremely disappointed" at the Pride board's decision.
"In the New Zealand of the 21st century, police celebrate diversity and promote inclusion," he said in a statement.
The graduation parade in June this year where one of the new constables proposed to his same-sex partner is a good example of this, he said.
Prime Minister Jacinda Ardern would not weigh in on the situation saying only that the "Pride Parade is at its best when it's inclusive".
