Does fedex have 24 hour customer service? FedEx Customer Service Number. This number is opened for 24 hours, 7 days which means you can call any time to solve your query. For any sort of inquiry related to services or any other issue, you can simply dial these Fedex Domestic or International Numbers. In case the FedEx Customer Care Number (s) are inaccessible, you can call 022 25714444.How do you contact fedex? To contact FedEx by phone, go to FedEx.com, click the Support link near the top-right corner of the home page, and then dial the telephone numbers provided under Contact Us by Email or Phone. Click the Additional Phone & Mailing Information link to view more phone numbers for different departments.How do i talk to a live person at fedex? How to Talk to a Live Person in Fedex Customer Service. If you need to talk to a live person at FedEx customer service you need to dial 1-800-463-3339 phone number.What are the hours for fedex customer service? FedEx Customer Service Hours. Mon.– Fri. 7:30am to 7:30pm. Sat. 7:30am to 6:00pm CT. FedEx Customer Service Phone Number: 1-800-GoFedEx or 1-800-463-3339.