When is it appropriate to give gifts to someone who celebrates Hanukkah?

Usually after the lighting of the candles, in the evenings, but there is no rule.

Some families exchange presents, and some do not. Gift giving is most common among American and Canadian Jews, but it's a non-Orthodox practice that only started a few decades ago due to influence from Christmas.

If gifts are exchanged, they are usually given each night during the 8 nights of the holiday. There is no rule about how many presents are given each night, but it is often 1 per night.

It is more traditional to give money or chocolate coins than gifts.