"immemorial for" is a grammatically correct phrase and can be used in written English.
It means "since ancient times" or "for a very long time." Example: The traditions of this small village have been handed down immemorial for generations, making them an important part of the community's identity.
The search from time immemorial for stronger, lighter and more durable materials used in construction and tools continues to this day.
Her cult among the Latins, however, seems to be immemorial, for she had apparently at least two ancient temples, one at Lavinium, the other at Ardea, at which festivals of the Latin cities were held.
According to the Bhagavata Purana, "[t]here in Badrikashram the Personality of Godhead (Vishnu), in his incarnation as the sages Nar and Narayana, had been undergoing great penance since time immemorial for the welfare of all living entities".
A great number of plants have been used throughout the world from time immemorial for the prevention and cure of sickness [ 1].
Bamboo has been used from time immemorial for a variety of purposes in daily life of over half the human race.
No systematic research initiatives have been undertaken, however, to map and evaluate the treatments, pharmacological or psychosocial, used by African, Asian, or native American cultures from time immemorial for managing mental disorders.
Exception was made only for those who were in possession of public cult from time immemorial or for at least 100 years.
A first-rate supporting cast includes Wendell Pierce ("Treme"), Katie Finneran ("Wonderfalls") and Betsy Brandt, who has been playing Marie Schrader on "Breaking Bad" since time immemorial and for whom this job must constitute a psychic relief.
Mr. Kyl and Mr. McCain have introduced a bill known as the Navajo-Hopi Little Colorado River Water Rights Settlement, which would require the tribes to waive their water rights for "time immemorial" in exchange for groundwater delivery projects to three remote communities.
Since time immemorial, man searched for cures for his disease from nature.
If, on the other hand, the pushers are wrong then we've potentially changed our environment with uncertain consequences for both the ecology and for health, really for time immemorial".
