That’s awful, in my 12 year experience with warfarin I was always told if you are over your therapeutic range you should reduce your dosage down not miss it for days. Not taking any anti coagulant can harm you if at risk of clotting. If this was a recent diagnosis I can understand why the doc wants you to take a more modern medication. If however you have been on warfarin for more than a couple of years they should not be changing you without having the new medication available. Also they should be checking your INR to see if the new meds are doing what they are supposed to.
Hope you are sorted now as this was a couple of days ago,
I hope this was of some help to you
regards
Michael