You can take your plant outdoors and drench the soil with any product that contains pyrethrum-type products. Some people say that Diatomaceous Earth, or DE, works well on ants without harming plants. This is a dust that you can sprinkle over the soil. If you’ve solved the issue of the ants in your kitchen, then you could use any type of over the counter powdered indoor ant killer that you find at the grocery store or hardware store to sprinkle around the window sill where you palm is located.

Thanks for your inquiry,

Happy Gardening!
The PlantMaster