At Rutgers, Carter led the team with 14.9 points last season. He played in only 24 games and earned 18 starts because of injuries. Carter shot 38.4 percent (39-for-122) from the field and 32 percent (39-for-122) from behind the three-point line.
"We are happy to have Eli available to play this season," Florida head coach Billy Donovan said.
Carter will play as a junior during the 2013-14 season.
"Thanks everyone. I appreciate the love and I am excited to be cleared to play this season!!" Carter said on Twitter.