Parks pulled out just three days after the central Americans became the first team to set up their training camp in Japan.
Costa Rica coach Alexander Guimaraes revealed that Parks aggravated the knee that has bothered him in recent months during training in Suzuka on Thursday.
It's best to
stand aside for a player who is in top shape
He will be replaced by Pablo Chinchilla.
"I thought it would be okay to play but it is just going to cause trouble for the team if I am not 100%.
"It's best to stand aside for a player who is in top shape," said Parks.