"The policy and my actions are going to be if you don't honor and stand for the flag in a way that a lot of our fans feel that you should, if that's not the case, then you won't play", Jones said on 105.3 The Fan in Dallas, doubling down on his comments following his conversation with President Trump.
"He's the owner. Either you listen or you don't", Washington Redskins tight end Vernon Davis said Monday.
'There is no room here if it comes between looking non-supportive of our players and of each other or creating the impression that you're disrespecting the flag, we will be non-supportive of each other, ' Jones said. "It's all up to each individual".
According to ESPN, the topic was raised after Vice President Mike Pence left the Indianapolis Colts-San Francisco 49ers game early on Sunday after players knelt during the national anthem.
An agreement to burn a losing team's jersey went horribly wrong when a drunken Florida man tried to put the jersey on, deputies say. Following the Cowboys' gesture, Trump said he spoke to Jones - who donated to Trump's campaign - and that the team will stand for the anthem going forward.
"A large part of our group feels that's disrespecting the flag", he said. "But if there's anything that is disrespectful to the flag, then we will not play. OK?"
'I don't know about that, ' said Jones, who was inducted into the Pro Football Hall of Fame in August. 'We will not disrespect the flag'.
Miami Dolphins owner Stephen Ross also said Sunday he changed his view on players kneeling for the national anthems and now wants all players to stand, the Miami Herald reported.
But three players did not join the team on the field during the anthem on Sunday. The league has said it doesn't plan to punish players over anthem protests.