Could you please elaborate a bit on your business task and clarify where exactly you would like to place the mentioned lookup and for which purpose? Maybe the mentioned functionality can be achieved with a help of filters?
I want to add specific lookup to the specific workspace so person who does not have admin access rights can edit it. We have created new detail in the Object. It is possible to add new records to the detail. When adding new record separate form with list of fields is opened. Form contains lookup but there is no option to add new record (there is no New button). Actually I am looking for the simple solution to add records to the lookup.
Here was a contrary question to DISABLE "NEW" OPTION. But you can try by analogy to change "Lookup view" from "List" to "Selection window" and the "New" button should be available.