I would think you can as long

as you have the proof that you own the house and the payments for the mortgage and you file as a resident. But you will need to put your chinese mortgage int on a separate line of Schedule A for no 1098 received.

Also please be aware that only the interest portion of your mortgage payment is deductible. When you say you pay $1200 each month, it sounds more likely the total payment because interest is different from month to month. Payments for principal is NOT deductible.