Crosby played through the injury and elected not to have surgery after the season, instead choosing to have multiple injections in his wrist.
"I'm really happy I didn't have to get surgery," he said. "It's one of those things where you don't want to have to deal with that halfway through the summer, when you're waiting, thinking it's going to heal and it's not healing. It's nice to not have to worry about it. Everything is as it would usually be."
The Penguins' captain said he'll be ready to start training camp, which begins later in September, on time.
Crosby, 27, led the NHL with 104 points last season and won the Hart Memorial Trophy.
Pittsburgh lost to the New York Rangers in the Eastern Conference Second Round after finishing in first place in the Metropolitan Division.
- Molly Geary