Chanukah is for the People at Low Levels
The Beis Yisrael zt'l said that ה"כ-חנו indicates that Chanukah is for everyone, as they are. כה means– "As you are."
The Chidushei HaRim notes that not everyone can approach the king, certainly not prisoners. But when the king travels, it is his custom to visit the prisons, and then the prisoners can shout out to the king and beg for his mercy. Chanukah is that time when Hashem visits the “jails” and brings the prisoners out. The Sfas Emes says that Chanukah is for the people at lower levels or beinanim (mediocre levels). Hashem brings a great holy light down below, to their levels, so they can climb up from there and attach themselves to kedushah.
Reb Asher of Stolin zt'l (Beis Aharon Chanukah 47.) said that this is hinted in the brachah that we say before Shemonah Esrei at Shacharis, מרום עדי שפלים ומגביה ארץ עדי גאים משפיל, "He humbles the haughty to the ground and lifts the low on high." This alludes to what occurs during the days of Chanukah. Hakadosh Baruch Hu lowers divine bounty, the divine light of Chanukah, and He brings it down to the earth. The purpose is to raise עדי שפלים מרום, to elevate those who are low to very high levels.
The Chiddushei HaRim (Likutei HaRim Chanukah) teaches, "(Chazal say Shabbos 21:), 'The mitzvah is to place the Chanukah lecht by the doorway of the house, on the outside.' This mitzvah also shines for the people who fell for the street and all the foolishness out there. For those who are literally "outside" spiritually, the mitzvah shines for them, and they can become a new creation."