He was stopped by security before causing any disruption, but was injured in the process.
When police questioned Browne on his actions he told them: "Oh, I don't know, drunk I suppose."
Lawyer Andrew Jack, who said Browne had no previous convictions, told the court it was a "momentary intrusion on to the edge of the playing surface".
It didn't interfere with the game or with the crowd observing the match, Jack said.
The broken ankle was "quite a serious injury", which had the electrician off work until September.
Browne made a $250 donation to the Salvation Army and underwent alcohol screening to show he did not have a dependence on alcohol or a "hazardous drinking pattern", the judge said.
The judge discharged Browne without conviction.