ODAC supports Oracle Database 12c Release 2 in Oracle Cloud (DBaaS) in the Direct mode. We haven't tested ODAC with Exadata Express Cloud Service specifically, but you can try to connect to Exadata Cloud using the fully-functional trial version of ODAC. In the TOraSession component, check the Direct box, and enter the Exadata Cloud address in the Server property.
Oracle Data Access Components (ODAC) is a library of components that provides native connectivity to Oracle from Delphi and C++Builder including Community Edition, as well as Lazarus (and Free Pascal)
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