"Everett is not enrolled at the university. Federal law and our own polices preclude us from discussing specifics," spokesman Dennis Brown said in an email.
Golson's departure is academic-related, a source with direct knowledge of situation confirmed to ESPN's Joe Schad. The Chicago Tribune earlier reported Golson's exit was because of an academic violation.
Golson started 11 games for the Fighting Irish last season as a redshirt freshman, leading the team to the Discover BCS National Championship, where it lost to Alabama to finish a 12-1 season.
He completed 187-of-318 passes for 2,405 yards and 12 touchdowns with six interceptions. Golson also rushed for 298 yards and six scores.
Golson's departure leaves a major question mark at a position where coach Brian Kelly was expecting to see big improvement in an offense that struggled for much of last season, with the Irish finishing 54th in the nation in total offense, including 71st in passing offense.
Former Oklahoma State quarterback Wes Lunt has drawn interest from Notre Dame within the past month and now may again be an option, a source told Schad. Lunt will visit Louisville on Tuesday, a source said.
Lunt would not be eligible this season. He is also considering Illinois.
Former Fighting Irish quarterback Gunner Kiel transferred to Cincinnati last month. He said Sunday he is committed to coach Tommy Tuberville and the Bearcats in response to speculation he could try to return to Notre Dame.
Zaire was the sixth-ranked QB prospect in the Class of 2013, according to the ESPN 300.
There could be precedent for a chance to reapply to Notre Dame, as former players Darrin Walls and Gary Gray missed a semester because of reported academic issues and returned.
Information from ESPN college football reporter Joe Schad and The Associated Press was used in this report.