A timetable for his return, however, has not been set.
Crosby gave an update on his post-concussion recovery, which has been ongoing for almost nine months. He was knocked out for the 2010-11 season when he suffered a concussion Jan. 5.
"I appreciate all the support I've received from my family, friends, teammates and fans and from the entire Penguins organization," Crosby said in a statement. "I know they only want the best for my health and for me to be fully ready when I return to game action."
Crosby said he had recently visited doctors in Michigan and Georgia, and that their opinion was that he would eventually make a full recovery.
Crosby, 24, was leading the NHL with 32 goals in 41 games when he was injured. He said he has experienced headaches this summer while exerting energy during training.
Pittsburgh's training camp begins Sept. 16 and the Penguins open their season Oct. 6 at Vancouver.
Notable deaths of 2014 [PHOTOS]