This article aims to assist you with updating the TLS version in-use on your cPanel server.
The following documentation should assist you in adjusting the TLS version for the various cPanel services:
With that said, adjusting the TLS version should not cause any downtime unless the supported TLS protocols are changed to something that is unsupported by the browser/client connecting to your server. Generally, we recommend using the default values for the cipher protocols and TLS versions. We support TLS 1.2 and strongly recommend enabling it on your server.