(Will people who live in Hiroshima tell me your favorites?)
This Japanese is perfectly comprehensible, but it sounds unnatural. (It is not only unnatural, but also feeble and timid.) It could be improved with little changes.
I changed three parts. The most important thing is that an appeal sentence would be better without は. Next, 人 should be 方, which is an honorific expression; however, this is not the main reason that the sentence is unnatural. Lastly, the topic of this conversation is clearly ‘anything good’; so, you have to mark 何かおすすめ as the topic. That is, it should be 何かおすすめは. Theoretically speaking, to put the topic sign on 'those who live in Hiroshima' is obviously strange, since you don't want to talk about those people.
If you have not heard of ‘the topic of a sentence’, though I don’t think that there are such people, please read these: