Many voters were waiting to see whether he would be charged before casting their ballot with the deadline approaching Monday.
State Attorney Willie Meggs told a news conference Thursday there was not enough evidence to win a conviction against Winston, mostly because there were too many gaps in his accuser's story.
Winston, 19, practiced as usual Thursday and traveled with the team to Charlotte in the evening.
There are no more doubts about his availability for the ACC title game and he is scheduled to be on the field for a bowl game. Florida State is heavily favored against Duke (10-2) and a win puts the Seminoles in the BCS championship game.
"It's been difficult to stay silent through this process, but I never lost faith in the truth and in who I am,'' Winston said in a statement.
"I think they handled it tremendous,'' Fisher said of the team's reaction to the Winston investigation. "I think it's because they believe in each other. They trust in each other. They believe in what we're doing here. They want to play for each other.''
The accuser's family released a statement after Meggs' announcement saying that she "has grave concerns that her experience, as it unfolded in the public eye and through social media, will discourage other victims of rape from coming forward and reporting.''
The alleged victim was an FSU student, but she left school last month as media reports of the case surfaced.
Fisher said Winston never seemed affected by the investigation. He was named ACC player of the year this week.
"He's the same guy out there leading his teammates and happy to be on the field,'' Fisher said. "He's very mature. He has strength in his beliefs in what he does. He's very mature that way. A lot of grown-ups can't do that. He can prioritize and compartmentalize when he has to do certain things.
"To me that gets back to controlling what you can control at that present time. He's done a good job of that.''
The Seminoles (12-0) finished the regular season undefeated for the first time since the 1999 national championship season. The sexual assault case became public three weeks ago as Florida State hit the homestretch and as Winston became a Heisman Trophy favorite.
Winston stays in the race to be the third Heisman Trophy winner in Florida State history. The trophy will be awarded Dec. 14. He could join quarterbacks Charlie Ward and Chris Weinke, who also won national titles in Tallahassee, Fla.
Fisher addressed the team about Meggs' decision before practice and said the focus immediately turned toward the final day of preparation before flying out.
"We're happy to be where we're going and that's what we're focused on,'' Fisher said. "We'll have the same mindset we always have.''
It was unclear if the alleged victim would pursue a civil case against Winston. Her family has been sharply critical of the Tallahassee Police Department, accusing the agency of delaying the investigation and discouraging her from going forward with the case because of the public attention it would receive. Tallahassee police have defended their handling of the case.
The woman told police she had been drinking at a bar with friends and went home with a man she didn't know. She said the alleged assault took place at an off-campus apartment, but she couldn't remember where it was.
A month later, she identified her alleged attacker as the quarterback. Winston's attorney Tim Jansen said the sex was consensual.