The policy dictates that any team personnel on the field - including players - who are on the field during the anthem must "stand and show respect".
Goodell was asked who would get to decide what actions would be considered disrespectful to the anthem or the US flag.
"I never want to put restrictions on the speech of our players", he told Newsday.
"As has been said, I think we have spent a lot of time really, not just at this meeting, but really over the previous year discussing the subject of the anthem and working with our players to try to make sure we could get to a place where all the different viewpoints could be respected", said Steelers President Art Rooney II.
President Donald Trump is in support of the NFL's new national anthem policy, which forbids players from kneeling during the anthem. "Of course. But I understand if they felt the need to protest", he said. While individual teams are free to work out their own rules for their staff, they are required to be "consistent with the above principles", and this might include fines. "I don't think that's appropriate".
The NFL chose not to consult that NFL Players Association before implementing the policy, a move that was met with wide criticism.
Another possible option would have been to change up the pregame routine entirely, keeping teams in their respective locker rooms until after the anthem had played. "I think the people pushed it forward", Trump said. There is no doubt some players around the league think this is a violation of their rights.
Robinson Cano suspended for 80 games under Major League Baseball drug policy
Not to mention, Cano has a full no-trade clause, meaning he won't be easy to get rid of even if other teams are interested. Cano tested positive for the diuretic furosemide, which violates the MLB's drug prevention and treatment program.
By Wednesday, they'd lost their minds - or possibly just panicked - and agreed unanimously to give players and others associated with National Football League franchises the option of remaining in their locker room for the anthem.
Steelers owner Art Rooney said after the vote that raising a fist or linking arms during the anthem, as some players have done, would be considered disrespectful.
The entire statement from Goodell is as follows: The efforts by many of our players sparked awareness and action around issues of social justice that must be addressed. I'm someone who's always looked at the anthem as a declaration of ideals, including the right to peaceful protest. It also lets you, the fan, know where our league stands.
By 2017, though Colin Kaepernick was out of the league, his messages condemning racial intolerance had taken hold on NFL sidelines including the Kansas City Chiefs, where players kneeled or stood in solidarity with their teammates. During a September rally, he referred to an National Football League player making a gesture during "The Star-Spangled Banner" as a "son of a bitch" who should be fired. "I believe that the union is going to go back and forth with them and we should just all stay in the locker room".
Some NFL players knelt during the anthem to protest police shootings of unarmed black men, sparking a controversy as Mr Trump criticised the players for being unpatriotic.
But, according to the new policy, players can skip the pregame ceremonies altogether, and stay in the locker room.