Change "Assigned To" to a multi select filter option in product module

By default, the “Assigned To” filter for Product Module looks like this:

I was wondering if it is possible to change it to a multi-select option, like this:

Thanks in advance.

I don’t think it’s possible without some serious coding. What I recommend it to take a look to the Collection of fields (Field type) created by @p.konetskiy. More information here: