Everett Golson provided roughly 10 schools to Notre Dame's compliance office as to where he is interested in transferring, and the school has not blocked him from transferring to any of those programs, according to sources.
Among the schools on Golson's initial wish list are Florida State, Alabama, South Carolina and UCLA, a source said.
Golson visited Florida State on Monday, coach Jimbo Fisher said.
"We're negotiating, we're talking right now," Fisher said. "We're going through things. Staying in contact with him."
The QB also visited Florida on Tuesday, sources confirmed to ESPN.
"Per NCAA rules, he's a prospect so I can't really comment on that part," Gators coach Jim McElwain said Wednesday. "The one thing that we are doing, however, and it's irregardless of whatever position it is, we're always looking to help the organization fill holes where needed. Obviously (Golson) mentioning us is something that's exciting, and at the same time, we're doing it at a lot of different spots."
A source close to Golson says there is no timeline yet on his decision.
All of the schools are members of Power 5 conferences, and none of the schools Golson provided to Notre Dame are on the Fighting Irish's 2015 schedule, a source said. The Fighting Irish may block Golson from transferring to a specific school.
On Thursday, Golson announced he was leaving Notre Dame to play his final year at another school. Golson graduated this semester, allowing him to transfer and play his final season at a new school without sitting out a year.
Because Golson played high school football in South Carolina, there has been a great deal of speculation that he would opt to attend an SEC school. But if Golson wants to transfer to an SEC school, he would require a waiver approved by SEC commissioner Mike Slive because he doesn't meet all the requirements of incoming SEC transfer student-athletes.
The SEC's graduate transfer rule -- 14.1.15.1 -- states the student-athlete must meet seven criteria. Golson would not meet the fourth criteria, 14.1.15.1d, which states: "The student-athlete has not been subject to official university or athletics department disciplinary action at any time during enrollment at any previous collegiate institution [excluding limited discipline applied by a sports team]."
"A waiver is possible, but not easily granted," a source said.
The SEC also restricts student-athletes from transferring to an SEC school with less than two years eligibility unless their previous school discontinued their sport or without a hardship circumstance.
Golson did not play during the 2013 season after he was suspended from Notre Dame for cheating on a test. He returned to Notre Dame before the 2014 season.
Golson led Notre Dame to an undefeated regular season in 2012 and a berth in the BCS title game.
Information from ESPN.com's Matt Fortuna, Jared Shanker and Edward Aschoff was used in this report.