"We're confident we're going to win every game we play," Parsons said. "We were down by 15 and came back, so I feel like we can win any game. Georgia played well and had really strong defense down low."
Trey Thompkins scored 20 points, and Albert Jackson ended Florida's comeback attempt by knocking a last-second pass out of bounds to help Georgia beat the Gators 78-76 on Saturday.
Parsons finished with 29 points for Florida, which had won three in a row overall and had taken 12 of its past 13 meetings with the Bulldogs.
"Give Georgia a lot of credit," Gators coach Billy Donovan said. "They played a great game. If it wasn't for two missed free throws the other night, I think they would've won at Vanderbilt. Their season has been a lot like that."
Georgia (13-14, 5-9 Southeastern Conference) improved to 12-3 at home this season with a fourth consecutive victory at Stegeman Coliseum, but the Bulldogs nearly blew a 15-point lead Dustin Ware gave them on a 3-pointer with 12:55 remaining.
Kenny Boynton, who scored 22 points, pulled Florida (20-9, 9-5) within two points three times in the final 5:42, but his fast break layup at the 1:39 mark ended the scoring.
After Georgia's shot-clock violation gave Florida the game's final possession with 13.3 seconds left, Jackson jumped in front of Dan Werner near the right sideline to block a pass intended for Vernon Macklin in the lane.
The ball bounced off Jackson's arms and into the crowd behind Werner. Florida fared no better with one-tenth of a second remaining when Werner unsuccessfully launched a 3-point attempt that sailed over the rim.
Florida was coming off its first win over Tennessee in three years, a 13-point victory Tuesday that lifted the Gators' hopes of returning to the NCAA Tournament for the first time since the school won consecutive national titles in 2006-07.
But Florida, which never led after Boynton's 3-pointer made it 17-15 midway through the first half, ends the regular season against No. 16 Vanderbilt at home and No. 2 Kentucky on the road.
Georgia had 13 points from Jeremy Price, 12 from Travis Leslie and 10 from Ware to hold off the Gators.
"I told the team that it's important to be tough enough to come back and pick yourself up when you're down," first-year Bulldogs coach Mark Fox said.