During the team's off-day, Hayes and his wife were driving to a birthday party at around 6 p.m. ET when traffic stopped on the Turnpike near Hollywood Boulevard in Broward County.
A man walked by in the rain, clutching a gun. Hayes made eye contact and sat calmly as the man kept walking.
Shortly afterward, police officers passed by with guns drawn.
"I didn't want to draw any attention," Hayes said on Friday. "You could see him trying to do something, like he was trying to do something else, take someone with him. I don't know. That's what it kind of looked like.
"I looked away nonchalantly and told my wife not to look at him. Luckily, he passed. He passed a lot of people. I was not the only one. There were a lot of people who saw it."
The incident led to two officers being wounded and the suspected gunman reportedly killing himself.
"It was just a sad, sad story," Hayes said.