Have you ever tried to correct a colleague then it backfires? Your colleague ends up angry at you and the rest of your workmates see you as a condescending know-it-all. It is an awkward experience; especially when you have to keep working with these people. All this because you simply wanted to honestly rectify an issue.
Depending on the gravity of the matter, weigh the cost. Whether the matter is insignificant and won’t cause any negative effect or raising it up is the best course of action. For instance, if your colleague mispronounced your name at first but then picked it up the correct way, you can let it slide.