Glik went unpunished by referee Bjorn Kuipers but admitted afterwards that it was a "nasty" challenge and that he would have had few complaints had he been sent off.
Higuain remains incensed over the incident and said the former Torino man has yet to apologise.
"I have no words for that foul," Higuian told Corriere dello Sport. "It was senseless, done for no reason and with absolutely no dignity.
"Everyone saw what he did and he didn't even have the honesty at that moment, or after the match, to come and apologise.
"I'm sorry for him, as he tried to hurt me and failed."
Juve won 4-1 on aggregate to progress to the final in Cardiff on June 3, where they will meet Real Madrid.