He initially refused a request to come to the police headquarters in Tempe, Arizona, allegedly telling police he "was not going to come in and (police) were not going to find him".
Three days later Crawford surrendered, but was unremorseful, saying he "was not sorry, and was acting in self-defence", the TV station reported.
He alleges that he was punched by the victim earlier in the match. Police reviewed video of the game and said they observed a shove, but no punch by Neary.
Three referees told police the kick was "the worst thing they have ever seen in their history with rugby".
Crawford wasn't a student at Arizona State at the time of the incident and it's unclear why he was allowed to play for the rugby club team at the school.
Crawford, who says he is not guilty, faces a trial on December 11.
Just after the incident, the University of Arizona released a statement that read:
"We are saddened by the unfortunate events of February 25 which left one of our rugby players injured at the hands of a competitor. Our goal is to provide a competitive environment focused on good sportsmanship. This incident is an egregious exception. Our thoughts now are with our student and his full recovery."
A spokesperson for Arizona State University said the entire club rugby coaching staff was fired as a result. USA Rugby also temporarily suspended the club.
The university has made a number of changes, including making it mandatory for club sport athletes to be current students. Head coaches must also undergo background checks, and athletes must follow an outlined code of conduct.
