I'm on xarelto for afib and was on the antibiotics for 14 months. My doctor never said anything about it. You do not want to go on Coumadin (generic warfarin) if you can avoid it. It requires regular testing and interacts with food so some diet restrictions may be required. Some doctors are not comfortable with the newer blood thinners.
Coumadin has been around for more than 60 years. Not saying however that this applies to your doctor.