What is the English word for just appearing to be dead
This condition is called catalepsy.
Catalepsy is a medical condition in which one appears to be dead but actually not dead. Even doctors may not identify the condition whether the patient is dead or alive. They think that the person is dead.
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Catalepsy is incorrect. The condition described in NOT catalepsy nor catatonia, neither of which mimic clinical death.
The condition described is Locked-In Syndrome, in which the only apparent sign of life is eye blinking, but sometimes not even that.
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5183991/