How can I run a graphical program in linux client with extend 9.2.5 or 10.4.1

Good afternoon, vgaete_copelec_cl .

For Linux client, you mean a device that is connected to a server where the ACU runtime is installed on?

Or you mean a standalone machine that has its own runtime?

For the latter option, the runtime already gives you a simulation of a graphical user interface.

For the former option, the best solution is AcuToWeb: https://www.microfocus.com/en-us/products/acutoweb/overview

Please contact your local Account Manager, or open a Case on the Customer Support portal: https://portal.microfocus.com/

We'll be happy to provide you all the information you need.

Linux client connects to linux server, with windows client we use thinclient for graphic programs but for linux client I can't find any way to do the same

Then, AcuToWeb is the perfect choice for you.