After the match, videos on social media showed fans throwing dirt at officials as they left the AT&T Stadium field in Arlington, Texas – some nearly hitting defensive DeMarcus Lawrence.
When Prescott was asked about the actions of the fans, he initially expressed his disappointment when he thought they were directing their anger at the players.
But when he was informed that the garbage was aimed at the judges, Prescott’s message changed: “Credit to them.”
On Tuesday, however, Prescott released a statement on Twitter when he issued a full apology.
“I have the highest respect for NFL officials and have always respected their professionalism and the difficulty of their jobs. The safety of anyone who participates in a match or attends the field for a sporting event is a very serious matter.
“It was a mistake on my behalf and I’m sorry.”
CNN has contacted the NFL for a comment. However, a US sports referee body has already called on the NFL to sanction Prescott.
“As an NFL leader, he should know better. We urge the NFL to take steps to counter this unfortunate behavior in the future.”
On Monday, Cowboys executive vice president Stephen Jones criticized the fans who had thrown dirt.
“It’s just unfortunate,” Jones told 105.3 The Fan on Monday. “That’s not how I see our fans. I think we’re a class act. There’s just no room for that.”