Are you talking about piping hydrogen peroxide into the body through an IV?
I am not a doctor or scientist, but that sounds extraordinarily dangerous. Using hydrogen peroxide internally has been linked to fatal blood disorders. So, no, I can't imagine anyone is using it through an IV to treat the common cold.
As of today, no one has found a cure for the common cold.
You can treat the symptoms of the common cold and get plenty of rest until your body resolves the illness. Thankfully, most healthy people will have no trouble fighting off the common cold. Symptoms rarely last more than one to two weeks.
If symptoms worsen or persist, you should see your doctor.