The vast majority of current AMD processors that fall within the system requirements should allow you to run the game. However, like many games released recently, Far Cry 5 requires a processor that support the SSE4.1 instruction set (or higher).
If the game crashes on launch on your computer, we would suggest as a first step to check that your AMD processor supports this instruction set. You should be able to find out by simply entering the name of your processor and SSE4.1 in any search engine. Of course, don't hesitate to get in touch with our support team if you need assistance with this process.
If you are certain your processor meets this requirement, we would suggest trying our basic PC troubleshooting guide.
Should you still be unable to get your game to run, please get in touch with us. We will do our best to correct the situation.