Yes that can be used on chickens or in their coop, once properly diluted down.Also saw this one and I asked a lady and she said she uses this one. Mixes it with some water and sprays it on the chickens.
Dilution for liquid concentrates: https://www.backyardchickens.com/threads/permethrin-dilution.1448295/
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My suggestion is to not use anything unless you actually have pests. If you try to use something as a preventative then most likely when you do have an issue it won't work because the pests have built up a resistance to it. I do put poultry dust in my nest boxes. Most poultry dust has 0.25% permethrin. I use permethrin. There are other products available but much more expensive and in my opinion permethrin works great. I don't think there is any brand better than the other. It's the active ingredient that counts such as permethrin. For your future reference here is a chart made by a BYC member for the different permethrin strengths for the concentrates.