If your city is not mentioned on this list, you can dial the following number to resolve your credit card queries - 1860 267 6161 . You can reach out to HDFC Bank through their official Twitter handle @hdfc_bank for any service-related complaints or queries. t International Toll-Free numbers: HDFC Bank offer. 0080077444 Switzerland 0080080. What is the credit card customer care number of HDFC Bank? HDFC’s credit card customer care numbers are 1800 202 6161 and 1860 267 6161. HDFC Bank Credit Card Customer Care Number, call the toll-free number 1800 202 6161 / 1860 267 6161 (Toll Free). Update your account and find nearest branch.