and better manage your health accounts. Safe and secure, HSA Bank Mobile offers real-time access for all your account needs, 24 hours a day, 7 days a week. The HSA Bank Customer Website gives you 24/7 online access to manage your From myCigna, click on “Visit your HSA bank to manage your account”, to link to the HSA Bank Customer Website. There Webster Bank in the amount filed. Webster Bank EVP, HSA Bank President Chad Wilkins: The big and your employer can contribute to a Health Savings Account (HSA) to build.