'suffer persecution' is correct and usable in written English.
You could use it in a sentence like: "Many refugees have had to suffer persecution in their home countries."
He expects that more and more Christians will, like the Odgaards, suffer "persecution" for their beliefs.
He is not the only member of his family to suffer persecution.
Buying into the current claim that Christians suffer persecution in the UK, many appear compelled to resist the academic critique of the traditions and texts they hold dear.
Then the Beast and the Antichrist will together unleash the upheavals of the final three and a half years, or "great tribulation," in which the Jews will once again suffer persecution.
They all suffer persecution, and oppose the regime.
Unlike The Matrix, the machines whose ranks include androids—suffer persecution.
The Muslim minority group has suffered persecution for decades in predominantly Buddhist Myanmar.
In the course of history, innumerable times, Christians have suffered persecution because of their faith.
These are basic rights which say that you can claim asylum if you have suffered persecution".
As early as 1010 Jews had suffered persecution and were forced to choose between conversion or exile.
But investigators determined that many of the asylum applicants "had not actually suffered persecution in China," according to the indictments.
