Yes, you need to place the meat in a system which can keep more heat. This means 1) more mass, and 2) less conduction.
This is generally done with cast iron pans, because they are great for that purpose. You have to wait until they are properly heated, but once they are there, adding food does not faze them and they keep the original temperature pretty steadily.
Also, if you use too little oil, the oil itself will cool down quickly. Fill the pan generously, to come a bit above half of the chicken breasts, and then you will see much less heat loss. You can also deep fry them, which keeps the temperature really stable, but then you need something much deeper than a pan for safety reasons.