I suspect you want something like:
wherePredicate = wherePredicate.Or(m => array.Contains(m.MediaType));
Or perhaps:
wherePredicate = wherePredicate.Or(m => array.Any(x => m.MediaType.Contains(x)));
If neither of those are what you're after, please clarify your requirements.
EDIT: The problem you're now facing is that you're not actually asking whether an array contains the value. You're asking whether a query contains a value. If you change it to an actual array, you may well find it works:
var mediagroups = ss.FindWhere(m => m.MediaGroupID == param.iMediaGroupID)
.Select(m => m.Name)
.ToArray();
However, if these are querying the same database, you'd be better off trying to do this in some kind of join.