Depending upon the area they share, it may not be a problem. We have fire ants in the front yard, outside of the fenced area used by the chickens. The ants don't come inside, from what I can tell.
To control fire ants, that is to keep them somewhere that is not a problem for me, I physically damage the mound several days in a row. Generally, they move elsewhere.
Our truce agreement is they can build in the flower bed, but not in the grass.
In the past, I have had success with a dose of Malathion in a bucket of water carefully poured into the center of the mound. This treatment usually kills the colony, but they are persistent and another mound will eventually develop in another location. I don't know if this means that not all the ants died, so the colony recovered, or if another colony moved in.
Chickens and fire ants go hand in hand. Newly bred queen fire ants needs bare earth to start her new colony. Chickens and their scratching produces plenty of bare earth.