I am using MinIO current with trains=0.16.4, if this will still be an valid option for ClearML (>0.17.0)?

Yes, you can still use it (and many other options, include local and cloud storage),

Hi, what’s storage ClearML is using? I am considering self-host clearML on a Cloud machine, while separated the data storage with our own machine (reduce network cost)

You can choose the one that works for you (Shared folder, S3, GS, Azure, Http).