The softgels and drops sold for colds have never been tried in people with one. The only oregano trial in a review of herbal cold and sinus treatments was a nasal spray for chronic sinusitis.
The US trial registry lists 19 studies of oregano and none for a cold, so no cold trial is registered either. The one oregano trial that did turn up was published outside the main medical indexes, so a small trial published the same way could have been missed.