To use the InfluxDB CLI with InfluxDB Cloud, users need to install the local InfluxDB 2.0 CLI and obtain authorization parameters such as URL, org, and token for their InfluxDB Cloud account. Once installed, users can create a configuration profile using the `influx config` command and access the Flux REPL by running the `./influx repl` command. Users can also write regular CSV files to InfluxDB Cloud using the `influx write` command, which requires specifying the bucket name, organization, retention policy, and data formats. Additionally, users can switch between different configuration settings using the `influx config` command and exit the Flux REPL session by pressing CMD+D on MacOS or CTRL+D on Linux variants.