"If there is anything that is disrespectful to the flag then we will not play", Jones told reporters.
The NFL voluntarily gave up its tax-exempt status two years ago, but that didn't stop President Donald Trump from tweeting on Tuesday morning that tax law should be changed so that the NFL will no longer get "massive tax breaks".
On Sunday, he tweeted that he was "proud" of Mike Pence after the Vice-President and his wife walked out of the Indianapolis Colts-San Francisco 49ers game after more than 20 of the 49ers players knelt as the Star-Spangled Banner was played before the match started.
Trump weighed in later via Twitter, taking credit for the departure of Pence and his wife from the stadium.
"While everyone is entitled to their own opinions, I don't think it's too much to ask NFL players to respect the Flag and our National Anthem", Pence tweeted. Some players have taken a knee to protest racial inequality and police brutality and in response to Trump's earlier comments calling for owners to fire players if they didn't stand for the anthem.
The former IN governor flew IN to Indianapolis so he could watch Peyton Manning's jersey retirement ceremony. "He is receiving great praise for leaving game after the players showed such disrespect for country!" The attention didn't stay on Manning for long.
"I left today's Colts game because President Donald Trump and I will not dignify any event that disrespects our soldiers, our Flag, or our National Anthem", Pence wrote on Twitter.
"He's turned it into an issue about patriotism and beyond, he's catering to his base in the process and the biggest thing he's doing is he's pulling it all off hiding behind these issues when, in my opinion, his real agenda is going after an National Football League community that didn't let him in that 'good ole boys club".
Trump's recent tweets on North Korea have prompted questions about whether the president is leaning toward military action.
On Monday, Trump tweeted: "Our country has been unsuccessfully dealing with North Korea for 25 years, giving billions of dollars & getting nothing".