I assume this is BigQuery?
If it's just an array of string values, looks like the IN operator and UNNEST can be used in a filter.
https://cloud.google.com/bigquery/docs/arrays#scanning_for_specific_values
If it's an array of structs or more complicated values, you might have to do a join in your fact table SQL definition to UNNEST them as dedicated columns. Then, reference those in your filters. That same page I linked has examples for this further up.