[Nevadaref]

There are clear references to players wearing glasses in the NFHS rules. I believe that it would be wrong for an official to declare that normal glasses pose a danger and try to prohibit a player from wearing them during a contest.

5-11-3 exception a
"No time-out is charged:
a. If, in 5-8-3, the player's request results from displaced eyeglasses or lens."

3.5 Situation A
"There are three criteria which determine the legality of equipment. First, any equipment which, in the judgment of the referee, is dangerous to others."
"The second standard provides that “any equipment which is unnatural and designed to increase the player's height or reach, or to gain an advantage, shall not be used.”"
"The third criterion provides that equipment used must be appropriate for basketball and not be confusing."

"Eyeglass protectors are considered appropriate equipment for basketball provided they meet the qualifications for legal equipment, including the third criterion."