How to make saved search based on a DCL field

Hi,

We have a custom object used and there is one DCL field created in the object to assign a record to a particular user. I want to create a saved search based on that particular DCL field. For Example, once a record is created by a user and in the DCL field, he selects XYZ user. Once XYZ logs in, he should be able to see records where he is assigned to that particular field. Is it possible?

Regards,

Kavya