In any case

во всяком случае

Большой англо-русский словарь

In any case

во всяком случае как бы там ни было, по крайней мере Например: In any case you had better hear what he has to say. — Во всяком случае, вам лучше выслушать его.

Англо-русский фразеологический словарь

In any case

phrasal without regard to or in spite of other considerations; whatever else is done or is the case Example: war is inevitable in any case Example: in any case the report will be made public next month

Merriam-Webster's Collegiate Dictionary