Mishna Berura OC 208, sk 9 in name of the GRA that even for Birkat Hamazon there is no need to mention the Al Hanisim, for Meen Shalosh, people have not the custom to add (adding here is regarded as a stringency) so, we cannot add it
In Bet Yosef we found in name of the Yerouchalmi to "mention some words linked to the event", but Tosfot seems to think that this Yerouchalmi wasn't ruled for the halacha. Tosfot has an other explanation, that this mention was mandatory at the time of Chazal because they were using wine or other Erets Israel important fruits for whole meals. But nowadays we don't make meals with nothing except bread, so, to mention the event is less important We understand that the duty to mention the event is to mention it in the important meals. Diverse customs are mentioned in Rishonim. The guideline is furnished by Rashba: "See what is going among people".
According to all poskim people did not mention Chanuka.
The last seems a weak explanation. The first is more rational. But following the both, we see that the fact that someone looks at any cost to mention Chanuka is not right