"The story I told on Jimmy Kimmel last night seems to have spiralled out of control," he said.
"What didn't come across is that this was supposed to be a joke.
"No one at all expected or assumed that anything like that would happen on the Good Time set."
The actor added: "We are all huge animal lovers and would obviously never do anything to harm an animal."
Pattinson portrays a New York criminal fighting to save his brother over the course of one night in Good Time, which received a six-minute standing ovation at the Cannes Film Festival.
The movie is directed by brothers Benny Safdie and Josh Safdie, who tweeted: "LOL this is NOT true."
DID YOU KNOW...
Atomic Blonde is the directorial debut for David Leitch, who was assistant director on John Wick. To prepare for her role, Charlize Theron trained with Keanu Reeves, who was preparing for his return in the John Wick sequel.