It might.... but you know I searched more than once for people, and didn't find a direct link to the Coumadin. But then not everything is documented, and in older patients, doctors tend to grasp the most likely diagnosis. If you are diabetic, they often won't look further (which is a shame too).

For example if you tell them you drink alcohol...and you are not diabetic...bingo they will diagnose alcohol induced neuropathy.
This eagerness however is blind to documented DRUG induced neuropathies, because doctors don't want to get involved in blaming a previous (or same self doctor) for giving you a drug that caused PN. They are very reluctant to blame each other. But they will blame alcohol for people for have been sober for years... we had one person who was sober for 20 yrs and still was given the alcoholic diagnosis!

The closest I can come to any useful info is this drug plugged into
http://www.drugcite.com/?q=coumadin
These are FDA reported side effects:
expanding neurological gives this:
I bolded the terms that could be construed as numbness and/or tingling/burning.