"suggesting for example" is correct and usable in written English.
It is commonly used to introduce an example or specific instance that supports or illustrates a statement or idea. Here is an example sentence: "Many people are turning to alternative forms of transportation, suggesting for example the rise in popularity of electric bikes and scooters."
He is given to a certain degree of personal self-deprecation, suggesting, for example, that he might not be "the sharpest knife in the drawer".
Cheever's account seems smoothed over at times, and she makes too many unsubstantiated claims, repeatedly suggesting, for example, that Alcott had a "deep influence" on Henry James.
Meanwhile, she not so subtly encourages me along, suggesting, for example, that I find a cute freshman and "become his cougar".
Some were embarrassing for public figures, suggesting, for example, that a famous newspaper editor had bought a heavily discounted mansion from a corrupt politician later convicted of murder.
Some people are suggesting, for example, that compacts be drawn up with local residents and community associations to ensure urban renewal schemes don't end up alienating the people already living there.
So when Mr. Limbaugh peddles conspiracy theories — suggesting, for example, that fears over swine flu were being hyped "to get people to respond to government orders" — that's a case of the conservative media establishment joining hands with the lunatic fringe.
If multiple triage locations were suggested (for example, emergency department or specialist), we used the most urgent suggestion.
She suggested, for example, tuition reimbursement.
No doubt there are ways to charge for premium content as it suggests, for example.
It suggests, for example, that Judas may not deserve the reputation conferred upon him by history.
One laboratory study suggested, for example, that antidepressants like Prozac could trigger spawning in some shellfish.
