James praised the players' unity, and said: "The people run this country".
Week 3 games in the NFL have seen teams and players kneeling en masse after President Trump said last week players should be fired if they protested against perceived racial injustice in the United States by not standing for the national anthem.
Jones, 74, in the past has criticized National Football League players who kneel during the song itself. "The only way out for them is to set a rule that you can't kneel during our National Anthem!"
Jones said the Cowboys' actions on Monday were a way of trying to placate everyone in the locker room - those who felt a need to respond to Trump's attacks and those who felt strongly about not protesting during the anthem. Trump tweeted on Wednesday that "Jerry is a victor who knows how to get things done".
"We showed the character of this team", Prescott said.
"Ratings for NFL football are way down except before game starts, when people tune in to see whether or not our country will be disrespected!"
Mr Trump noted in his tweets that the team stood for the anthem: "Big progress being made - we all love our country".
As Mike Fisher of Dallas Cowboys on Scout.com, reported before the game, the team was planning to make some sort of statement during the anthem. "We even had the circumstances that it was being made into a controversy".
Other players and coaches indicated that their teams would discuss as a group how they want to proceed next weekend during the anthem.
Players protested police brutality against African-Americans, as well as the controversial comments of President Donald Trump about athletes use of on-field means of self-expression.
Kaepernick, who is unsigned this season, began dropping to a knee during the national anthem previous year in demonstration against police brutality and injustice.More news: Police seize millions of ballots ahead of Catalan independence vote
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