Many people have been arguing passionately on both sides of why the statue should or should not go.
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A rally was outside City Hall Thursday in favor of the statue, with Republican City Councilman Ronald Castorina leading the charge.
"It is a monument to, for and by Italian-American immigrants," he said. "Italian-American immigrants that came to this country with nothing."
Mayor Bill de Blasio recently commissioned a task force to look at statues and monuments around the city, and after a 90-day review, make a recommendation as to what they believe should happen.
"We have to look at everything," he said. "I'm Italian-American, and Italian-Americans have been taught to be proud of Columbus. There's things not to be proud of as well. That's going to be a part of the process, to make sense of how to handle things of a whole host of figures from our history.
Council Speaker Melissa Mark-Viverito turned a lot of heads Monday when she said the statue should be looked at closely because of Columbus' brutal past. Many said he enslaved and murdered Native Americans, and the statue should be taken down.
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"There are still to this day conversations happening because of the monuments, other Columbus statues, being talked about," she said. "I would want the commission to look at that statue as well."
Columbus is revered by many, but others argue he should not be honored because he brutalized and killed many native Americans. Because of that, they argue his legacy is tarnished.
"I think that what went on in Latin America and the Caribbean now is well documented that it was horrendous," Rep. Adriano Espaillat said. "I certainly look at him different than when I was studying history back in grammar school, no question about it."
No decision has been made about the statue.