The boy's mother wrote to the paper detailing what reportedly happened.
"We knew there would be hecklers, but never would I have thought that my son would be called an expletive to his face or have hot dogs thrown at him. But the worst was when he was tackled by a drunken adult male in the parking lot," Danielle Brennan wrote to the paper.
The youngster reportedly scraped and bruised ankle after being struck by the older fan in a parking lot near Cleveland Browns Stadium.
The Cleveland Browns have reached out and expressed their concern to the family about the incident.
A team spokesman said the Browns contacted the boy's family on Wednesday and offered "anything we can do" after hearing about the "unfortunate" incident.
The New York Jets have offered to fly the family to New York to watch a Jets game from a suite, but they declined.
The Jets defeated the Browns in overtime 26-20.
The Associated Press contributed to this report.