"For all of our members, remember the words of Matthew 5:38-39 and don't try to retaliate or fight any of the negative comments."
Matthew 5:38-39 reads "You have heard that it was said, 'Eye for eye, and tooth for tooth.' But I tell you, do not resist an evil person. If anyone slaps you on the right cheek, turn to them the other cheek also."
Butler County Schools Superintendent Amy Bryan denounced Joyner's message in a statement to AL.com.
"Patriotism should be a part of school events but threats of shooting people who aren't patriotic, even in jest, have no place at a school," she wrote.
"Threats of violence are a violation of school policy and certainly not condoned by the school board."
The school board will convene next week and Bryan said any action against Joyner could be taken then.
The pastor's comments come two weeks after San Francisco 49ers quarterback Colin Kaepernick refused to stand for The Star-Spangled Banner during a preseason game against the San Diego Chargers in San Diego.
"I am not going to stand up to show pride in a flag for a country that oppresses black people and people of colour," Kaepernick told NFL Media. "To me, this is bigger than football and it would be selfish on my part to look the other way. There are bodies in the street and people getting paid leave and getting away with murder."
Seattle Reign footballer Megan Rapinoe knelt during the pre-game anthem on September 4. Denver Broncos linebacker Brandon Marshall,Kansas City Chiefs cornerback Marcus Peters and four Miami Dolphins also staged protested at the national anthem.
On September 2, Ohio's Brunswick High School student Rodney Axson became the first high school football player to kneel in solidarity with Kaepernick and has reportedly already received death threats in response to his protest.