The Raiders fell to 4-6 after losing to the Patriots in Mexico City, an underwhelming record for a team who had success last season and believed adding Lynch and others would help them improve.
Lynch, known to not speak to the media, will unlikely explain his actions.
Lynch stood during the Mexican national anthem.
Lynch has not stood for "The Star-Spangled Banner" since he came out of retirement to play with the Raiders.
ESPN points out that the Oakland running back did stand at the beginning of the USA anthem and was not "completely at attention" for the Mexican song. Engaging NFL players in that way is a direct violation of their first amendment protections - a freedom of expression which, like it or not, the president is supposed to defend, according to the oath of office Trump took at his inauguration. On Aug. 13, Raiders head coach Jack Del Rio told reporters that he was not bothered by the player's decision. "You do your thing, and we'll do ours.' So that's a non-issue for me". Supporters said that the demonstration was a peaceful protest against racial injustice, while critics asserted that it was disrespectful to US military service members and veterans.More news: Redskins blow a 15-point lead over Saints in under 3 minutes
Former San Francisco 49ers quarterback Colin Kaepernick started the controversy past year by first sitting then kneeling during the national anthem.
Trump, who has previously called for National Football League owners to fire players who he feels don't show proper deference for the American flag, tweeted Monday that it showed "great disrespect!" "Out! He's fired. He's fired!"
On Sunday Trump tweeted out that he should have left three college basketball players to sit in jail cells in China after being arrested for shoplifting.