He is expected to miss three to four weeks.
Viciedo was hit with a pitch from Rangers' left-hander Dave Bush in the eighth inning and went to the ground immediately. He was tended to by trainer Brian Ball, as well as manager Ozzie Guillen, before leaving the game.
"When that happens to any player, especially the way he's been playing, it was sad," Guillen said. "That's the bad part of this game, people get hurt and you feel for them no matter if it was Dayan or anybody else. You don't want that to happen to anyone. He'll be out three to four weeks but hopefully he can heal quicker."
Viciedo, who has been getting time in right field after starting his White Sox career as an infielder, is batting .435 this spring after an 0-for-2 day with a walk and a hit by pitch. In right field he had already thrown out a runner at third base and another at home plate this spring and made a nice running catch earlier in Thursday's game.
Guillen said the White Sox training staff will re-examine Viciedo on Friday to verify the original diagnosis of a fracture. Viciedo was in the trainer's room after the game with his right hand heavily wrapped, but was not available for comment.
"It was a very sad day," Guillen said. "This kid was playing great, having fun, playing a great outfield. Hopefully it's less than that. Hopefully he's cured before we leave camp and we'll see what happens."
Even if Viciedo was ready to play in three weeks, he would still need time to find his swing again, so his chances of opening the season with the team would seem remote. Guillen was staying optimistic, though.
"He's done everything we have asked him to do," Guillen said. "He deserved to be out there getting a shot. We'll see. Unfortunately that happened to him today. Like I say, hopefully he will be ready before this spring training is over to get a shot."
Doug Padilla covers the White Sox for ESPNChicago.com and ESPN 1000.