Mr Trump said that "instead of talk", he is going to ask protesting players to suggest "people that they think were unfairly treated by the justice system". He added, "The pardons are a very positive things for a president".
A spokesman for Ali thanked Trump but said a pardon isn't necessary.
In addition to the fact that Ali's conviction was eventually overturned, President Jimmy Carter issued a blanket pardon for draft evaders in 1977.
CNNreported on Wednesday that the White House has assembled the paperwork to pardon dozens of people, according to two sources with knowledge of the developments.
An Olympic champion may be the next pardon UnitedStates President Donald Trump considers. "I am thinking about Muhammad Ali".
It is not a stretch to see a direct line between Ali's activism and that of people like Colin Kaepernick, who did not face prosecution but has certainly faced consequences for his decision to kneel during the National Anthem before NFL games. "I want to do people who are unfairly treated like Alice [Marie Johnson]".
Analysts believe Trump's newfound enthusiasm for exercising pardoning power is because it's a presidential privilege unchecked by other branches of government, which can not be said of most of Trump's other policies.