Welcome to HCM.
If the fish bone sticks into the throat, it produces discomfort. Most of the time it will dislodge itself and the discomfort will take quite some time to disappear.
If the pain in the chest persists it will be a good idea to consult a surgeon and get your self examined and if indicated endoscopy
may also be needed to exclude any problem in the food pipe which passes through the chest into the abdomen.
Wishing you all the best.